Lcd Of 4 And 10
LCM of 4 and 10
LCM of four and 10 is the smallest number among all common multiples of 4 and 10. The first few multiples of 4 and 10 are (4, 8, 12, xvi, 20, 24, . . . ) and (10, 20, 30, 40, l, 60, 70, . . . ) respectively. There are 3 commonly used methods to notice LCM of 4 and ten - by listing multiples, past sectionalization method, and by prime factorization.
| i. | LCM of four and 10 |
| 2. | List of Methods |
| iii. | Solved Examples |
| 4. | FAQs |
What is the LCM of 4 and 10?
Answer: LCM of four and 10 is twenty.
Explanation:
The LCM of ii not-zip integers, 10(four) and y(10), is the smallest positive integer yard(xx) that is divisible by both x(4) and y(ten) without whatsoever balance.
Methods to Find LCM of 4 and x
The methods to find the LCM of 4 and 10 are explained below.
- By Prime Factorization Method
- By Listing Multiples
- Past Division Method
LCM of 4 and x by Prime Factorization
Prime factorization of iv and 10 is (2 × 2) = 22 and (2 × 5) = 21 × 51 respectively. LCM of 4 and 10 can be obtained by multiplying prime factors raised to their respective highest ability, i.east. 2ii × 51 = twenty.
Hence, the LCM of 4 and 10 by prime factorization is 20.
LCM of 4 and 10 by Listing Multiples
To summate the LCM of four and ten past list out the common multiples, we tin follow the given below steps:
- Step 1: List a few multiples of 4 (iv, 8, 12, 16, 20, 24, . . . ) and ten (10, 20, 30, 40, 50, 60, 70, . . . . )
- Step 2: The common multiples from the multiples of four and 10 are 20, twoscore, . . .
- Footstep iii: The smallest common multiple of 4 and x is xx.
∴ The least mutual multiple of 4 and 10 = twenty.
LCM of 4 and 10 by Sectionalisation Method
To calculate the LCM of 4 and 10 by the division method, we volition dissever the numbers(4, ten) by their prime factors (preferably mutual). The product of these divisors gives the LCM of 4 and 10.
- Step 1: Observe the smallest prime that is a factor of at least one of the numbers, 4 and 10. Write this prime number(two) on the left of the given numbers(4 and ten), separated as per the ladder organization.
- Step two: If whatever of the given numbers (4, 10) is a multiple of 2, split up it by 2 and write the quotient beneath it. Bring down whatsoever number that is not divisible past the prime number.
- Step 3: Keep the steps until only 1s are left in the last row.
The LCM of 4 and 10 is the product of all prime numbers on the left, i.e. LCM(4, 10) by segmentation method = 2 × 2 × 5 = xx.
☛ Besides Check:
- LCM of xiv and 21 - 42
- LCM of two, 4 and 6 - 12
- LCM of 16 and 60 - 240
- LCM of 25 and 36 - 900
- LCM of 14 and 56 - 56
- LCM of 64 and 72 - 576
- LCM of 3, 9 and 18 - 18
FAQs on LCM of 4 and 10
What is the LCM of 4 and 10?
The LCM of 4 and ten is 20 . To find the LCM (least mutual multiple) of 4 and 10, we need to find the multiples of four and 10 (multiples of 4 = four, 8, 12, sixteen . . . . twenty; multiples of ten = ten, 20, 30, xl) and cull the smallest multiple that is exactly divisible by 4 and 10, i.e., twenty.
What are the Methods to Find LCM of 4 and 10?
The usually used methods to notice the LCM of 4 and ten are:
- Listing Multiples
- Division Method
- Prime Factorization Method
What is the Relation Between GCF and LCM of 4, 10?
The following equation can be used to express the relation betwixt GCF and LCM of 4 and ten, i.e. GCF × LCM = 4 × 10.
If the LCM of 10 and iv is xx, Find its GCF.
LCM(10, four) × GCF(10, four) = x × 4
Since the LCM of 10 and 4 = 20
⇒ 20 × GCF(x, 4) = forty
Therefore, the greatest common factor (GCF) = forty/20 = 2.
Which of the following is the LCM of 4 and 10? 28, 20, 32, 2
The value of LCM of 4, ten is the smallest common multiple of iv and 10. The number satisfying the given condition is twenty.
Lcd Of 4 And 10,
Source: https://www.cuemath.com/numbers/lcm-of-4-and-10/
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