Least Common Multiple of 740/91, 723/7748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 740/91, 723/7748 quickly i.e. 535020/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/91, 723/7748 is 535020/13.

LCM(740/91, 723/7748) = 535020/13

LCM of 740/91, 723/7748

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 740/91,723/7748

Given numbers are 740/91,723/7748

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 740,723

Least Common Multiple of Numerators i.e. LCM of 740,723 is 535020.

GCF of Denominators means GCF of 91,7748 as per the given fractions.

GCF of 91,7748 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,723

LCM of Fractions 740/91,723/7748 is 535020/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 535020

Least Common Multiple of 740,723 with GCF Formula

Least Common Multiple of 740,723 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 740,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,723) = 1

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

GCF(740,723) x common factors =1 x 1 = 1

LCM(740,723) = ( 740 × 723 ) / 1

LCM(740,723) = 535020 / 1

LCM(740,723) = 535020


Lets's calculate GCF of 91,7748

13 91, 7748
7, 596

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 535020/13

Therefore the LCM of Fractions 740/91,723/7748 is 535020/13

Greatest Common Factor of 91,7748 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,7748 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 7748

List of positive integer factors of 7748 that divides 7748 without a remainder.

1,2,4,13,26,52,149,298,596,1937,3874,7748

Greatest Common Factor

We found the factors 91,7748 . The biggest common factor number is the GCF number.
So the greatest common factor 91,7748 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 740/91, 723/7748

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 740/91, 723/7748?

Answer: LCM of Numerators as per given numbers 740/91, 723/7748 is

LCM of Numerators i.e. for 740,723 is 535020

GCF of denominators i.e. for 91,7748 is 13.

Thus, LCM of Fractions is 535020/13.Finally, LCM of Fractions for 740/91, 723/7748 is 535020/13.