Least Common Multiple of 4/297, 9/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4/297, 9/748 quickly i.e. 36/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/297, 9/748 is 36/11.

LCM(4/297, 9/748) = 36/11

LCM of 4/297, 9/748

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 4/297,9/748

Given numbers are 4/297,9/748

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 4,9

Least Common Multiple of Numerators i.e. LCM of 4,9 is 36.

GCF of Denominators means GCF of 297,748 as per the given fractions.

GCF of 297,748 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,9

LCM of Fractions 4/297,9/748 is 36/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 36

Least Common Multiple of 4,9 with GCF Formula

Least Common Multiple of 4,9 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 4,9 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,9) = 1

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

GCF(4,9) x common factors =1 x 1 = 1

LCM(4,9) = ( 4 × 9 ) / 1

LCM(4,9) = 36 / 1

LCM(4,9) = 36


Lets's calculate GCF of 297,748

11 297, 748
27, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36/11

Therefore the LCM of Fractions 4/297,9/748 is 36/11

Greatest Common Factor of 297,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,748 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 297,748 . The biggest common factor number is the GCF number.
So the greatest common factor 297,748 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4/297, 9/748

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 4/297, 9/748?

Answer: LCM of Numerators as per given numbers 4/297, 9/748 is

LCM of Numerators i.e. for 4,9 is 36

GCF of denominators i.e. for 297,748 is 11.

Thus, LCM of Fractions is 36/11.Finally, LCM of Fractions for 4/297, 9/748 is 36/11.