Least Common Multiple of 456, 981
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 456, 981 i.e. 149112 smallest integer divisible by all numbers.
Least common multiple (LCM) of 456, 981 is 149112.
LCM(456, 981) = 149112
LCM of 456, 981
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 456, 981 by common division method
- Least Common Multiple of 456, 981 with GCF Formula
Least Common Multiple (LCM) of 456,981 is 149112
| 3 | 456, 981 |
| 152, 327 |
∴ So the LCM of the given numbers is 3 x 152 x 327 = 149112
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 456,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,981) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(456,981) x common factors =3 x 1 = 3
LCM(456,981) = ( 456 × 981 ) / 3
LCM(456,981) = 447336 / 3
LCM(456,981) = 149112
∴ Least Common Multiple of 456,981 is 149112
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 456, 981
1. What is the LCM of 456, 981?
Answer: LCM of 456, 981 is 149112.
2. What are the Factors of 149112?
Answer: Factors of 149112 are . There are integers that are factors of 149112
3. How to Find the LCM of 456, 981 ?
Least Common Multiple of 456, 981.
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(456, 981) = 2 x 2 x 2 x 3 x 3 x 19 x 109 = 149112.