Least Common Multiple of 6937/34, 9068/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6937/34, 9068/154 quickly i.e. 31452358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6937/34, 9068/154 is 31452358.

LCM(6937/34, 9068/154) = 31452358

LCM of 6937/34, 9068/154

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 6937/34,9068/154

Given numbers are 6937/34,9068/154

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 6937,9068

Least Common Multiple of Numerators i.e. LCM of 6937,9068 is 62904716.

GCF of Denominators means GCF of 34,154 as per the given fractions.

GCF of 34,154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6937,9068

LCM of Fractions 6937/34,9068/154 is 31452358

Given numbers has no common factors except 1. So, there LCM is their product i.e 62904716

Least Common Multiple of 6937,9068 with GCF Formula

Least Common Multiple of 6937,9068 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 6937,9068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6937,9068) = 1

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

GCF(6937,9068) x common factors =1 x 1 = 1

LCM(6937,9068) = ( 6937 × 9068 ) / 1

LCM(6937,9068) = 62904716 / 1

LCM(6937,9068) = 62904716


Lets's calculate GCF of 34,154

2 34, 154
17, 77

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62904716/2

Therefore the LCM of Fractions 6937/34,9068/154 is 31452358

Greatest Common Factor of 34,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,154 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 34,154 . The biggest common factor number is the GCF number.
So the greatest common factor 34,154 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 6937/34, 9068/154

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 6937/34, 9068/154?

Answer: LCM of Numerators as per given numbers 6937/34, 9068/154 is

LCM of Numerators i.e. for 6937,9068 is 62904716

GCF of denominators i.e. for 34,154 is 2.

Thus, LCM of Fractions is 31452358.Finally, LCM of Fractions for 6937/34, 9068/154 is 31452358.