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 16, 31, 980 i.e. 121520 smallest integer divisible by all numbers.
Least common multiple (LCM) of 16, 31, 980 is 121520.
LCM(16, 31, 980) = 121520
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 16, 31, 980 |
2 | 8, 31, 490 |
4, 31, 245 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 31 x 245 = 121520
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 16,31,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,31,980) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(16,31,980) x common factors =1 x 4 = 4
LCM(16,31,980) = ( 16 × 31 × 980 ) / 4
LCM(16,31,980) = 486080 / 4
LCM(16,31,980) = 121520
∴ Least Common Multiple of 16,31,980 is 121520
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 16, 31, 980?
Answer: LCM of 16, 31, 980 is 121520.
2. What are the Factors of 121520?
Answer: Factors of 121520 are . There are integers that are factors of 121520
3. How to Find the LCM of 16, 31, 980 ?
Least Common Multiple of 16, 31, 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(16, 31, 980) = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 31 = 121520.