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 71, 31, 31, 426 i.e. 13206 smallest integer divisible by all numbers.
Least common multiple (LCM) of 71, 31, 31, 426 is 13206.
LCM(71, 31, 31, 426) = 13206
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
31 | 71, 31, 31, 426 |
71 | 71, 1, 1, 426 |
1, 1, 1, 6 |
∴ So the LCM of the given numbers is 31 x 71 x 1 x 1 x 1 x 6 = 13206
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 71,31,31,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,31,31,426) = 1
common factors(in case of two or more numbers have common factors) = 2201
GCF(71,31,31,426) x common factors =1 x 2201 = 2201
LCM(71,31,31,426) = ( 71 × 31 × 31 × 426 ) / 2201
LCM(71,31,31,426) = 29066406 / 2201
LCM(71,31,31,426) = 13206
∴ Least Common Multiple of 71,31,31,426 is 13206
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 71, 31, 31, 426?
Answer: LCM of 71, 31, 31, 426 is 13206.
2. What are the Factors of 13206?
Answer: Factors of 13206 are . There are integers that are factors of 13206
3. How to Find the LCM of 71, 31, 31, 426 ?
Least Common Multiple of 71, 31, 31, 426.
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(71, 31, 31, 426) = 2 x 3 x 31 x 71 = 13206.