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, 85, 12, 172 i.e. 3114060 smallest integer divisible by all numbers.
Least common multiple (LCM) of 71, 85, 12, 172 is 3114060.
LCM(71, 85, 12, 172) = 3114060
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 71, 85, 12, 172 |
2 | 71, 85, 6, 86 |
71, 85, 3, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 85 x 3 x 43 = 3114060
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 71,85,12,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,85,12,172) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(71,85,12,172) x common factors =1 x 4 = 4
LCM(71,85,12,172) = ( 71 × 85 × 12 × 172 ) / 4
LCM(71,85,12,172) = 12456240 / 4
LCM(71,85,12,172) = 3114060
∴ Least Common Multiple of 71,85,12,172 is 3114060
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 71, 85, 12, 172?
Answer: LCM of 71, 85, 12, 172 is 3114060.
2. What are the Factors of 3114060?
Answer: Factors of 3114060 are . There are integers that are factors of 3114060
3. How to Find the LCM of 71, 85, 12, 172 ?
Least Common Multiple of 71, 85, 12, 172.
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, 85, 12, 172) = 2 x 2 x 3 x 5 x 17 x 43 x 71 = 3114060.