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 51, 66, 578 i.e. 19074 smallest integer divisible by all numbers.
Least common multiple (LCM) of 51, 66, 578 is 19074.
LCM(51, 66, 578) = 19074
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 51, 66, 578 |
3 | 51, 33, 289 |
17 | 17, 11, 289 |
1, 11, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 11 x 17 = 19074
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 51,66,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,66,578) = 1
common factors(in case of two or more numbers have common factors) = 102
GCF(51,66,578) x common factors =1 x 102 = 102
LCM(51,66,578) = ( 51 × 66 × 578 ) / 102
LCM(51,66,578) = 1945548 / 102
LCM(51,66,578) = 19074
∴ Least Common Multiple of 51,66,578 is 19074
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 51, 66, 578?
Answer: LCM of 51, 66, 578 is 19074.
2. What are the Factors of 19074?
Answer: Factors of 19074 are . There are integers that are factors of 19074
3. How to Find the LCM of 51, 66, 578 ?
Least Common Multiple of 51, 66, 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(51, 66, 578) = 2 x 3 x 11 x 17 x 17 = 19074.