Least Common Multiple of 69/646, 230/96, 156/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/646, 230/96, 156/317 quickly i.e. 17940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/646, 230/96, 156/317 is 17940.

LCM(69/646, 230/96, 156/317) = 17940

LCM of 69/646, 230/96, 156/317

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 69/646,230/96,156/317

Given numbers are 69/646,230/96,156/317

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 69,230,156

Least Common Multiple of Numerators i.e. LCM of 69,230,156 is 17940.

GCF of Denominators means GCF of 646,96,317 as per the given fractions.

GCF of 646,96,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,230,156

LCM of Fractions 69/646,230/96,156/317 is 17940

2 69, 230, 156
3 69, 115, 78
23 23, 115, 26
1, 5, 26

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 5 x 26 = 17940

Least Common Multiple of 69,230,156 with GCF Formula

Least Common Multiple of 69,230,156 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 69,230,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,230,156) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(69,230,156) x common factors =1 x 138 = 138

LCM(69,230,156) = ( 69 × 230 × 156 ) / 138

LCM(69,230,156) = 2475720 / 138

LCM(69,230,156) = 17940


Lets's calculate GCF of 646,96,317

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17940/1

Therefore the LCM of Fractions 69/646,230/96,156/317 is 17940

Greatest Common Factor of 646,96,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,96,317 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 646,96,317 . The biggest common factor number is the GCF number.
So the greatest common factor 646,96,317 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 69/646, 230/96, 156/317

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 69/646, 230/96, 156/317?

Answer: LCM of Numerators as per given numbers 69/646, 230/96, 156/317 is

LCM of Numerators i.e. for 69,230,156 is 17940

GCF of denominators i.e. for 646,96,317 is 1.

Thus, LCM of Fractions is 17940.Finally, LCM of Fractions for 69/646, 230/96, 156/317 is 17940.