Least Common Multiple of 872, 3112
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 872, 3112 i.e. 339208 smallest integer divisible by all numbers.
Least common multiple (LCM) of 872, 3112 is 339208.
LCM(872, 3112) = 339208
LCM of 872, 3112
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 872, 3112 by common division method
- Least Common Multiple of 872, 3112 with GCF Formula
Least Common Multiple (LCM) of 872,3112 is 339208
| 2 | 872, 3112 |
| 2 | 436, 1556 |
| 2 | 218, 778 |
| 109, 389 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 389 = 339208
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 872,3112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,3112) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(872,3112) x common factors =8 x 1 = 8
LCM(872,3112) = ( 872 × 3112 ) / 8
LCM(872,3112) = 2713664 / 8
LCM(872,3112) = 339208
∴ Least Common Multiple of 872,3112 is 339208
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Frequently Asked Questions on LCM of 872, 3112
1. What is the LCM of 872, 3112?
Answer: LCM of 872, 3112 is 339208.
2. What are the Factors of 339208?
Answer: Factors of 339208 are . There are integers that are factors of 339208
3. How to Find the LCM of 872, 3112 ?
Least Common Multiple of 872, 3112.
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(872, 3112) = 2 x 2 x 2 x 109 x 389 = 339208.