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 204, 134, 768 i.e. 874752 smallest integer divisible by all numbers.
Least common multiple (LCM) of 204, 134, 768 is 874752.
LCM(204, 134, 768) = 874752
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 204, 134, 768 |
2 | 102, 67, 384 |
3 | 51, 67, 192 |
17, 67, 64 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 67 x 64 = 874752
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 204,134,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,134,768) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(204,134,768) x common factors =2 x 12 = 24
LCM(204,134,768) = ( 204 × 134 × 768 ) / 24
LCM(204,134,768) = 20994048 / 24
LCM(204,134,768) = 874752
∴ Least Common Multiple of 204,134,768 is 874752
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 204, 134, 768?
Answer: LCM of 204, 134, 768 is 874752.
2. What are the Factors of 874752?
Answer: Factors of 874752 are . There are integers that are factors of 874752
3. How to Find the LCM of 204, 134, 768 ?
Least Common Multiple of 204, 134, 768.
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(204, 134, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 67 = 874752.