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 815, 518, 328, 492, 980 i.e. 1453953480 smallest integer divisible by all numbers.
Least common multiple (LCM) of 815, 518, 328, 492, 980 is 1453953480.
LCM(815, 518, 328, 492, 980) = 1453953480
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 815, 518, 328, 492, 980 |
2 | 815, 259, 164, 246, 490 |
5 | 815, 259, 82, 123, 245 |
7 | 163, 259, 82, 123, 49 |
41 | 163, 37, 82, 123, 7 |
163, 37, 2, 3, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 41 x 163 x 37 x 2 x 3 x 7 = 1453953480
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 815,518,328,492,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,518,328,492,980) = 1
common factors(in case of two or more numbers have common factors) = 45920
GCF(815,518,328,492,980) x common factors =1 x 45920 = 45920
LCM(815,518,328,492,980) = ( 815 × 518 × 328 × 492 × 980 ) / 45920
LCM(815,518,328,492,980) = 66765543801600 / 45920
LCM(815,518,328,492,980) = 1453953480
∴ Least Common Multiple of 815,518,328,492,980 is 1453953480
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 815, 518, 328, 492, 980?
Answer: LCM of 815, 518, 328, 492, 980 is 1453953480.
2. What are the Factors of 1453953480?
Answer: Factors of 1453953480 are . There are integers that are factors of 1453953480
3. How to Find the LCM of 815, 518, 328, 492, 980 ?
Least Common Multiple of 815, 518, 328, 492, 980.
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(815, 518, 328, 492, 980) = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 37 x 41 x 163 = 1453953480.