Least Common Multiple of 6870/336, 6728/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6870/336, 6728/133 quickly i.e. 23110680/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6870/336, 6728/133 is 23110680/7.

LCM(6870/336, 6728/133) = 23110680/7

LCM of 6870/336, 6728/133

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 6870/336,6728/133

Given numbers are 6870/336,6728/133

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 6870,6728

Least Common Multiple of Numerators i.e. LCM of 6870,6728 is 23110680.

GCF of Denominators means GCF of 336,133 as per the given fractions.

GCF of 336,133 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6870,6728

LCM of Fractions 6870/336,6728/133 is 23110680/7

2 6870, 6728
3435, 3364

∴ So the LCM of the given numbers is 2 x 3435 x 3364 = 23110680

Least Common Multiple of 6870,6728 with GCF Formula

Least Common Multiple of 6870,6728 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 6870,6728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6870,6728) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(6870,6728) x common factors =2 x 1 = 2

LCM(6870,6728) = ( 6870 × 6728 ) / 2

LCM(6870,6728) = 46221360 / 2

LCM(6870,6728) = 23110680


Lets's calculate GCF of 336,133

7 336, 133
48, 19

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23110680/7

Therefore the LCM of Fractions 6870/336,6728/133 is 23110680/7

Greatest Common Factor of 336,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,133 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 336,133 . The biggest common factor number is the GCF number.
So the greatest common factor 336,133 is 7.


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 6870/336, 6728/133

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 6870/336, 6728/133?

Answer: LCM of Numerators as per given numbers 6870/336, 6728/133 is

LCM of Numerators i.e. for 6870,6728 is 23110680

GCF of denominators i.e. for 336,133 is 7.

Thus, LCM of Fractions is 23110680/7.Finally, LCM of Fractions for 6870/336, 6728/133 is 23110680/7.