Least Common Multiple of 6938/55, 6656/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6938/55, 6656/143 quickly i.e. 23089664/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6938/55, 6656/143 is 23089664/11.

LCM(6938/55, 6656/143) = 23089664/11

LCM of 6938/55, 6656/143

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 6938/55,6656/143

Given numbers are 6938/55,6656/143

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 6938,6656

Least Common Multiple of Numerators i.e. LCM of 6938,6656 is 23089664.

GCF of Denominators means GCF of 55,143 as per the given fractions.

GCF of 55,143 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6938,6656

LCM of Fractions 6938/55,6656/143 is 23089664/11

2 6938, 6656
3469, 3328

∴ So the LCM of the given numbers is 2 x 3469 x 3328 = 23089664

Least Common Multiple of 6938,6656 with GCF Formula

Least Common Multiple of 6938,6656 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 6938,6656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6938,6656) = 2

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

GCF(6938,6656) x common factors =2 x 1 = 2

LCM(6938,6656) = ( 6938 × 6656 ) / 2

LCM(6938,6656) = 46179328 / 2

LCM(6938,6656) = 23089664


Lets's calculate GCF of 55,143

11 55, 143
5, 13

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23089664/11

Therefore the LCM of Fractions 6938/55,6656/143 is 23089664/11

Greatest Common Factor of 55,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,143 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 55,143 . The biggest common factor number is the GCF number.
So the greatest common factor 55,143 is 11.


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 6938/55, 6656/143

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 6938/55, 6656/143?

Answer: LCM of Numerators as per given numbers 6938/55, 6656/143 is

LCM of Numerators i.e. for 6938,6656 is 23089664

GCF of denominators i.e. for 55,143 is 11.

Thus, LCM of Fractions is 23089664/11.Finally, LCM of Fractions for 6938/55, 6656/143 is 23089664/11.