Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 142, 459, 432 i.e. 521424 smallest integer divisible by all numbers.
Least common multiple (LCM) of 142, 459, 432 is 521424.
LCM(142, 459, 432) = 521424
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 142, 459, 432 |
3 | 71, 459, 216 |
3 | 71, 153, 72 |
3 | 71, 51, 24 |
71, 17, 8 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 71 x 17 x 8 = 521424
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 142,459,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,459,432) = 1
common factors(in case of two or more numbers have common factors) = 54
GCF(142,459,432) x common factors =1 x 54 = 54
LCM(142,459,432) = ( 142 × 459 × 432 ) / 54
LCM(142,459,432) = 28156896 / 54
LCM(142,459,432) = 521424
∴ Least Common Multiple of 142,459,432 is 521424
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 142, 459, 432?
Answer: LCM of 142, 459, 432 is 521424.
2. What are the Factors of 521424?
Answer: Factors of 521424 are . There are integers that are factors of 521424
3. How to Find the LCM of 142, 459, 432 ?
Least Common Multiple of 142, 459, 432.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(142, 459, 432) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 71 = 521424.