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 429, 724, 864, 290, 176 i.e. 3242622240 smallest integer divisible by all numbers.
Least common multiple (LCM) of 429, 724, 864, 290, 176 is 3242622240.
LCM(429, 724, 864, 290, 176) = 3242622240
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 429, 724, 864, 290, 176 |
2 | 429, 362, 432, 145, 88 |
2 | 429, 181, 216, 145, 44 |
2 | 429, 181, 108, 145, 22 |
3 | 429, 181, 54, 145, 11 |
11 | 143, 181, 18, 145, 11 |
13, 181, 18, 145, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 11 x 13 x 181 x 18 x 145 x 1 = 3242622240
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 429,724,864,290,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,724,864,290,176) = 1
common factors(in case of two or more numbers have common factors) = 4224
GCF(429,724,864,290,176) x common factors =1 x 4224 = 4224
LCM(429,724,864,290,176) = ( 429 × 724 × 864 × 290 × 176 ) / 4224
LCM(429,724,864,290,176) = 13696836341760 / 4224
LCM(429,724,864,290,176) = 3242622240
∴ Least Common Multiple of 429,724,864,290,176 is 3242622240
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 724, 864, 290, 176?
Answer: LCM of 429, 724, 864, 290, 176 is 3242622240.
2. What are the Factors of 3242622240?
Answer: Factors of 3242622240 are . There are integers that are factors of 3242622240
3. How to Find the LCM of 429, 724, 864, 290, 176 ?
Least Common Multiple of 429, 724, 864, 290, 176.
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(429, 724, 864, 290, 176) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 13 x 29 x 181 = 3242622240.