Least Common Multiple of 660/71, 755/3438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/71, 755/3438 quickly i.e. 99660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/71, 755/3438 is 99660.

LCM(660/71, 755/3438) = 99660

LCM of 660/71, 755/3438

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 660/71,755/3438

Given numbers are 660/71,755/3438

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 660,755

Least Common Multiple of Numerators i.e. LCM of 660,755 is 99660.

GCF of Denominators means GCF of 71,3438 as per the given fractions.

GCF of 71,3438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,755

LCM of Fractions 660/71,755/3438 is 99660

5 660, 755
132, 151

∴ So the LCM of the given numbers is 5 x 132 x 151 = 99660

Least Common Multiple of 660,755 with GCF Formula

Least Common Multiple of 660,755 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 660,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,755) = 5

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

GCF(660,755) x common factors =5 x 1 = 5

LCM(660,755) = ( 660 × 755 ) / 5

LCM(660,755) = 498300 / 5

LCM(660,755) = 99660


Lets's calculate GCF of 71,3438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99660/1

Therefore the LCM of Fractions 660/71,755/3438 is 99660

Greatest Common Factor of 71,3438 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,3438 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1,2,3,6,9,18,191,382,573,1146,1719,3438

Greatest Common Factor

We found the factors 71,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 71,3438 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 660/71, 755/3438

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 660/71, 755/3438?

Answer: LCM of Numerators as per given numbers 660/71, 755/3438 is

LCM of Numerators i.e. for 660,755 is 99660

GCF of denominators i.e. for 71,3438 is 1.

Thus, LCM of Fractions is 99660.Finally, LCM of Fractions for 660/71, 755/3438 is 99660.