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Least Common Multiple of 297/625, 1089/676

Know Least Common Multiple of fractions 297/625, 1089/676 quickly i.e. 3267 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/625, 1089/676 is 3267.

LCM(297/625, 1089/676) = 3267

LCM of 297/625, 1089/676

Enter two or more fractions separated by "commas"

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

LCM of:

Given numbers are 297/625,1089/676

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 297,1089

Least Common Multiple of Numerators i.e. LCM of 297,1089 is 3267.

GCF of Denominators means GCF of 625,676 as per the given fractions.

GCF of 625,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,1089

Least Common Multiple (LCM) of 297,1089 By Common Division

3 297, 1089
3 99, 363
11 33, 121
3, 11

∴ So the LCM of the given numbers is 3 x 3 x 11 x 3 x 11 = 3267

Least Common Multiple of 297,1089 with GCF Formula

Least Common Multiple of 297,1089 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 297,1089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,1089) = 99

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

GCF(297,1089) x common factors =99 x 1 = 99

LCM(297,1089) = ( 297 × 1089 ) / 99

LCM(297,1089) = 323433 / 99

LCM(297,1089) = 3267


Lets's calculate GCF of 625,676

Greatest Common Factor (GCF) of 625,676 By Common Division

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3267/1

Therefore the LCM of Fractions 297/625,1089/676 is 3267

Greatest Common Factor of 625,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,676 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 625,676 . The biggest common factor number is the GCF number.
So the greatest common factor 625,676 is 1.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 297/625, 1089/676

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 297/625, 1089/676?

Answer: LCM of Numerators as per given numbers 297/625, 1089/676 is

LCM of Numerators i.e. for 297,1089 is 3267

GCF of denominators i.e. for 625,676 is 1.

Thus, LCM of Fractions is 3267.Finally, LCM of Fractions for 297/625, 1089/676 is 3267.