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, 399, 492, 864, 489 i.e. 767956896 smallest integer divisible by all numbers.
Least common multiple (LCM) of 456, 399, 492, 864, 489 is 767956896.
LCM(456, 399, 492, 864, 489) = 767956896
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 456, 399, 492, 864, 489 |
2 | 228, 399, 246, 432, 489 |
2 | 114, 399, 123, 216, 489 |
3 | 57, 399, 123, 108, 489 |
19 | 19, 133, 41, 36, 163 |
1, 7, 41, 36, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 1 x 7 x 41 x 36 x 163 = 767956896
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 456,399,492,864,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,399,492,864,489) = 3
common factors(in case of two or more numbers have common factors) = 16416
GCF(456,399,492,864,489) x common factors =3 x 16416 = 49248
LCM(456,399,492,864,489) = ( 456 × 399 × 492 × 864 × 489 ) / 49248
LCM(456,399,492,864,489) = 37820341214208 / 49248
LCM(456,399,492,864,489) = 767956896
∴ Least Common Multiple of 456,399,492,864,489 is 767956896
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 456, 399, 492, 864, 489?
Answer: LCM of 456, 399, 492, 864, 489 is 767956896.
2. What are the Factors of 767956896?
Answer: Factors of 767956896 are . There are integers that are factors of 767956896
3. How to Find the LCM of 456, 399, 492, 864, 489 ?
Least Common Multiple of 456, 399, 492, 864, 489.
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, 399, 492, 864, 489) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 19 x 41 x 163 = 767956896.