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 234, 438, 697, 578 i.e. 202404618 smallest integer divisible by all numbers.
Least common multiple (LCM) of 234, 438, 697, 578 is 202404618.
LCM(234, 438, 697, 578) = 202404618
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 234, 438, 697, 578 |
3 | 117, 219, 697, 289 |
17 | 39, 73, 697, 289 |
39, 73, 41, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 39 x 73 x 41 x 17 = 202404618
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 234,438,697,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,438,697,578) = 1
common factors(in case of two or more numbers have common factors) = 204
GCF(234,438,697,578) x common factors =1 x 204 = 204
LCM(234,438,697,578) = ( 234 × 438 × 697 × 578 ) / 204
LCM(234,438,697,578) = 41290542072 / 204
LCM(234,438,697,578) = 202404618
∴ Least Common Multiple of 234,438,697,578 is 202404618
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 234, 438, 697, 578?
Answer: LCM of 234, 438, 697, 578 is 202404618.
2. What are the Factors of 202404618?
Answer: Factors of 202404618 are . There are integers that are factors of 202404618
3. How to Find the LCM of 234, 438, 697, 578 ?
Least Common Multiple of 234, 438, 697, 578.
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(234, 438, 697, 578) = 2 x 3 x 3 x 13 x 17 x 17 x 41 x 73 = 202404618.