Least Common Multiple of 9/51, 1/93, 55/13, 26/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9/51, 1/93, 55/13, 26/646 quickly i.e. 12870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/51, 1/93, 55/13, 26/646 is 12870.

LCM(9/51, 1/93, 55/13, 26/646) = 12870

LCM of 9/51, 1/93, 55/13, 26/646

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 9/51,1/93,55/13,26/646

Given numbers are 9/51,1/93,55/13,26/646

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 9,1,55,26

Least Common Multiple of Numerators i.e. LCM of 9,1,55,26 is 12870.

GCF of Denominators means GCF of 51,93,13,646 as per the given fractions.

GCF of 51,93,13,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,1,55,26

LCM of Fractions 9/51,1/93,55/13,26/646 is 12870

Given numbers has no common factors except 1. So, there LCM is their product i.e 12870

Least Common Multiple of 9,1,55,26 with GCF Formula

Least Common Multiple of 9,1,55,26 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 9,1,55,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,1,55,26) = 1

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

GCF(9,1,55,26) x common factors =1 x 1 = 1

LCM(9,1,55,26) = ( 9 × 1 × 55 × 26 ) / 1

LCM(9,1,55,26) = 12870 / 1

LCM(9,1,55,26) = 12870


Lets's calculate GCF of 51,93,13,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12870/1

Therefore the LCM of Fractions 9/51,1/93,55/13,26/646 is 12870

Greatest Common Factor of 51,93,13,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,93,13,646 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 51,93,13,646 . The biggest common factor number is the GCF number.
So the greatest common factor 51,93,13,646 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9/51, 1/93, 55/13, 26/646

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 9/51, 1/93, 55/13, 26/646?

Answer: LCM of Numerators as per given numbers 9/51, 1/93, 55/13, 26/646 is

LCM of Numerators i.e. for 9,1,55,26 is 12870

GCF of denominators i.e. for 51,93,13,646 is 1.

Thus, LCM of Fractions is 12870.Finally, LCM of Fractions for 9/51, 1/93, 55/13, 26/646 is 12870.