Least Common Multiple of 77/740, 93/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/740, 93/754 quickly i.e. 7161/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/740, 93/754 is 7161/2.

LCM(77/740, 93/754) = 7161/2

LCM of 77/740, 93/754

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 77/740,93/754

Given numbers are 77/740,93/754

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 77,93

Least Common Multiple of Numerators i.e. LCM of 77,93 is 7161.

GCF of Denominators means GCF of 740,754 as per the given fractions.

GCF of 740,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,93

LCM of Fractions 77/740,93/754 is 7161/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 7161

Least Common Multiple of 77,93 with GCF Formula

Least Common Multiple of 77,93 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 77,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,93) = 1

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

GCF(77,93) x common factors =1 x 1 = 1

LCM(77,93) = ( 77 × 93 ) / 1

LCM(77,93) = 7161 / 1

LCM(77,93) = 7161


Lets's calculate GCF of 740,754

2 740, 754
370, 377

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7161/2

Therefore the LCM of Fractions 77/740,93/754 is 7161/2

Greatest Common Factor of 740,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,754 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 740,754 . The biggest common factor number is the GCF number.
So the greatest common factor 740,754 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/740, 93/754

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 77/740, 93/754?

Answer: LCM of Numerators as per given numbers 77/740, 93/754 is

LCM of Numerators i.e. for 77,93 is 7161

GCF of denominators i.e. for 740,754 is 2.

Thus, LCM of Fractions is 7161/2.Finally, LCM of Fractions for 77/740, 93/754 is 7161/2.