Least Common Multiple of 1751/91, 7651/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1751/91, 7651/234 quickly i.e. 13396901/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1751/91, 7651/234 is 13396901/13.

LCM(1751/91, 7651/234) = 13396901/13

LCM of 1751/91, 7651/234

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 1751/91,7651/234

Given numbers are 1751/91,7651/234

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 1751,7651

Least Common Multiple of Numerators i.e. LCM of 1751,7651 is 13396901.

GCF of Denominators means GCF of 91,234 as per the given fractions.

GCF of 91,234 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1751,7651

LCM of Fractions 1751/91,7651/234 is 13396901/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 13396901

Least Common Multiple of 1751,7651 with GCF Formula

Least Common Multiple of 1751,7651 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 1751,7651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1751,7651) = 1

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

GCF(1751,7651) x common factors =1 x 1 = 1

LCM(1751,7651) = ( 1751 × 7651 ) / 1

LCM(1751,7651) = 13396901 / 1

LCM(1751,7651) = 13396901


Lets's calculate GCF of 91,234

13 91, 234
7, 18

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13396901/13

Therefore the LCM of Fractions 1751/91,7651/234 is 13396901/13

Greatest Common Factor of 91,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,234 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 91,234 . The biggest common factor number is the GCF number.
So the greatest common factor 91,234 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1751/91, 7651/234

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 1751/91, 7651/234?

Answer: LCM of Numerators as per given numbers 1751/91, 7651/234 is

LCM of Numerators i.e. for 1751,7651 is 13396901

GCF of denominators i.e. for 91,234 is 13.

Thus, LCM of Fractions is 13396901/13.Finally, LCM of Fractions for 1751/91, 7651/234 is 13396901/13.