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 992, 764, 173, 157, 519 i.e. 15438746976 smallest integer divisible by all numbers.
Least common multiple (LCM) of 992, 764, 173, 157, 519 is 15438746976.
LCM(992, 764, 173, 157, 519) = 15438746976
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 992, 764, 173, 157, 519 |
2 | 496, 382, 173, 157, 519 |
173 | 248, 191, 173, 157, 519 |
248, 191, 1, 157, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 173 x 248 x 191 x 1 x 157 x 3 = 15438746976
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 992,764,173,157,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,764,173,157,519) = 1
common factors(in case of two or more numbers have common factors) = 692
GCF(992,764,173,157,519) x common factors =1 x 692 = 692
LCM(992,764,173,157,519) = ( 992 × 764 × 173 × 157 × 519 ) / 692
LCM(992,764,173,157,519) = 10683612907392 / 692
LCM(992,764,173,157,519) = 15438746976
∴ Least Common Multiple of 992,764,173,157,519 is 15438746976
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 992, 764, 173, 157, 519?
Answer: LCM of 992, 764, 173, 157, 519 is 15438746976.
2. What are the Factors of 15438746976?
Answer: Factors of 15438746976 are . There are integers that are factors of 15438746976
3. How to Find the LCM of 992, 764, 173, 157, 519 ?
Least Common Multiple of 992, 764, 173, 157, 519.
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(992, 764, 173, 157, 519) = 2 x 2 x 2 x 2 x 2 x 3 x 31 x 157 x 173 x 191 = 15438746976.