Least Common Multiple of 9497/738, 9461/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9497/738, 9461/672 quickly i.e. 89851117/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9497/738, 9461/672 is 89851117/6.

LCM(9497/738, 9461/672) = 89851117/6

LCM of 9497/738, 9461/672

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 9497/738,9461/672

Given numbers are 9497/738,9461/672

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 9497,9461

Least Common Multiple of Numerators i.e. LCM of 9497,9461 is 89851117.

GCF of Denominators means GCF of 738,672 as per the given fractions.

GCF of 738,672 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9497,9461

LCM of Fractions 9497/738,9461/672 is 89851117/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 89851117

Least Common Multiple of 9497,9461 with GCF Formula

Least Common Multiple of 9497,9461 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 9497,9461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9497,9461) = 1

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

GCF(9497,9461) x common factors =1 x 1 = 1

LCM(9497,9461) = ( 9497 × 9461 ) / 1

LCM(9497,9461) = 89851117 / 1

LCM(9497,9461) = 89851117


Lets's calculate GCF of 738,672

2 738, 672
3 369, 336
123, 112

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89851117/6

Therefore the LCM of Fractions 9497/738,9461/672 is 89851117/6

Greatest Common Factor of 738,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,672 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

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

Greatest Common Factor

We found the factors 738,672 . The biggest common factor number is the GCF number.
So the greatest common factor 738,672 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9497/738, 9461/672

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 9497/738, 9461/672?

Answer: LCM of Numerators as per given numbers 9497/738, 9461/672 is

LCM of Numerators i.e. for 9497,9461 is 89851117

GCF of denominators i.e. for 738,672 is 6.

Thus, LCM of Fractions is 89851117/6.Finally, LCM of Fractions for 9497/738, 9461/672 is 89851117/6.