Least Common Multiple of 540/672, 297/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 540/672, 297/194 quickly i.e. 2970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/672, 297/194 is 2970.

LCM(540/672, 297/194) = 2970

LCM of 540/672, 297/194

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 540/672,297/194

Given numbers are 540/672,297/194

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 540,297

Least Common Multiple of Numerators i.e. LCM of 540,297 is 5940.

GCF of Denominators means GCF of 672,194 as per the given fractions.

GCF of 672,194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,297

LCM of Fractions 540/672,297/194 is 2970

3 540, 297
3 180, 99
3 60, 33
20, 11

∴ So the LCM of the given numbers is 3 x 3 x 3 x 20 x 11 = 5940

Least Common Multiple of 540,297 with GCF Formula

Least Common Multiple of 540,297 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 540,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,297) = 27

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

GCF(540,297) x common factors =27 x 1 = 27

LCM(540,297) = ( 540 × 297 ) / 27

LCM(540,297) = 160380 / 27

LCM(540,297) = 5940


Lets's calculate GCF of 672,194

2 672, 194
336, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5940/2

Therefore the LCM of Fractions 540/672,297/194 is 2970

Greatest Common Factor of 672,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,194 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 672,194 . The biggest common factor number is the GCF number.
So the greatest common factor 672,194 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 540/672, 297/194

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 540/672, 297/194?

Answer: LCM of Numerators as per given numbers 540/672, 297/194 is

LCM of Numerators i.e. for 540,297 is 5940

GCF of denominators i.e. for 672,194 is 2.

Thus, LCM of Fractions is 2970.Finally, LCM of Fractions for 540/672, 297/194 is 2970.