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 966, 564, 759 i.e. 998844 smallest integer divisible by all numbers.
Least common multiple (LCM) of 966, 564, 759 is 998844.
LCM(966, 564, 759) = 998844
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 966, 564, 759 |
3 | 483, 282, 759 |
23 | 161, 94, 253 |
7, 94, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 7 x 94 x 11 = 998844
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 966,564,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,564,759) = 3
common factors(in case of two or more numbers have common factors) = 138
GCF(966,564,759) x common factors =3 x 138 = 414
LCM(966,564,759) = ( 966 × 564 × 759 ) / 414
LCM(966,564,759) = 413521416 / 414
LCM(966,564,759) = 998844
∴ Least Common Multiple of 966,564,759 is 998844
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 966, 564, 759?
Answer: LCM of 966, 564, 759 is 998844.
2. What are the Factors of 998844?
Answer: Factors of 998844 are . There are integers that are factors of 998844
3. How to Find the LCM of 966, 564, 759 ?
Least Common Multiple of 966, 564, 759.
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(966, 564, 759) = 2 x 2 x 3 x 7 x 11 x 23 x 47 = 998844.