Least Common Multiple of 11/97, 91/10, 34/49, 78/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/97, 91/10, 34/49, 78/65 quickly i.e. 102102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/97, 91/10, 34/49, 78/65 is 102102.

LCM(11/97, 91/10, 34/49, 78/65) = 102102

LCM of 11/97, 91/10, 34/49, 78/65

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 11/97,91/10,34/49,78/65

Given numbers are 11/97,91/10,34/49,78/65

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 11,91,34,78

Least Common Multiple of Numerators i.e. LCM of 11,91,34,78 is 102102.

GCF of Denominators means GCF of 97,10,49,65 as per the given fractions.

GCF of 97,10,49,65 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,91,34,78

LCM of Fractions 11/97,91/10,34/49,78/65 is 102102

2 11, 91, 34, 78
13 11, 91, 17, 39
11, 7, 17, 3

∴ So the LCM of the given numbers is 2 x 13 x 11 x 7 x 17 x 3 = 102102

Least Common Multiple of 11,91,34,78 with GCF Formula

Least Common Multiple of 11,91,34,78 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 11,91,34,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,91,34,78) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(11,91,34,78) x common factors =1 x 26 = 26

LCM(11,91,34,78) = ( 11 × 91 × 34 × 78 ) / 26

LCM(11,91,34,78) = 2654652 / 26

LCM(11,91,34,78) = 102102


Lets's calculate GCF of 97,10,49,65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102102/1

Therefore the LCM of Fractions 11/97,91/10,34/49,78/65 is 102102

Greatest Common Factor of 97,10,49,65 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,10,49,65 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Greatest Common Factor

We found the factors 97,10,49,65 . The biggest common factor number is the GCF number.
So the greatest common factor 97,10,49,65 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 11/97, 91/10, 34/49, 78/65

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 11/97, 91/10, 34/49, 78/65?

Answer: LCM of Numerators as per given numbers 11/97, 91/10, 34/49, 78/65 is

LCM of Numerators i.e. for 11,91,34,78 is 102102

GCF of denominators i.e. for 97,10,49,65 is 1.

Thus, LCM of Fractions is 102102.Finally, LCM of Fractions for 11/97, 91/10, 34/49, 78/65 is 102102.