Least Common Multiple of 106, 696, 311, 912

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 106, 696, 311, 912 i.e. 435942384 smallest integer divisible by all numbers.

Least common multiple (LCM) of 106, 696, 311, 912 is 435942384.

LCM(106, 696, 311, 912) = 435942384

LCM of 106, 696, 311, 912

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 106,696,311,912

Least Common Multiple (LCM) of 106,696,311,912 is 435942384

2 106, 696, 311, 912
2 53, 348, 311, 456
2 53, 174, 311, 228
3 53, 87, 311, 114
53, 29, 311, 38

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 53 x 29 x 311 x 38 = 435942384

Least Common Multiple of 106,696,311,912 with GCF Formula

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 106,696,311,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,696,311,912) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(106,696,311,912) x common factors =1 x 48 = 48

LCM(106,696,311,912) = ( 106 × 696 × 311 × 912 ) / 48

LCM(106,696,311,912) = 20925234432 / 48

LCM(106,696,311,912) = 435942384

∴ Least Common Multiple of 106,696,311,912 is 435942384

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 106, 696, 311, 912

1. What is the LCM of 106, 696, 311, 912?

Answer: LCM of 106, 696, 311, 912 is 435942384.

2. What are the Factors of 435942384?

Answer: Factors of 435942384 are . There are integers that are factors of 435942384

3. How to Find the LCM of 106, 696, 311, 912 ?

Least Common Multiple of 106, 696, 311, 912.

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(106, 696, 311, 912) = 2 x 2 x 2 x 2 x 3 x 19 x 29 x 53 x 311 = 435942384.