Least Common Multiple of 93/656, 660/752, 820/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/656, 660/752, 820/764 quickly i.e. 209715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/656, 660/752, 820/764 is 209715.

LCM(93/656, 660/752, 820/764) = 209715

LCM of 93/656, 660/752, 820/764

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 93/656,660/752,820/764

Given numbers are 93/656,660/752,820/764

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 93,660,820

Least Common Multiple of Numerators i.e. LCM of 93,660,820 is 838860.

GCF of Denominators means GCF of 656,752,764 as per the given fractions.

GCF of 656,752,764 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,660,820

LCM of Fractions 93/656,660/752,820/764 is 209715

2 93, 660, 820
2 93, 330, 410
3 93, 165, 205
5 31, 55, 205
31, 11, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 31 x 11 x 41 = 838860

Least Common Multiple of 93,660,820 with GCF Formula

Least Common Multiple of 93,660,820 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 93,660,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,660,820) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(93,660,820) x common factors =1 x 60 = 60

LCM(93,660,820) = ( 93 × 660 × 820 ) / 60

LCM(93,660,820) = 50331600 / 60

LCM(93,660,820) = 838860


Lets's calculate GCF of 656,752,764

2 656, 752, 764
2 328, 376, 382
164, 188, 191

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 838860/4

Therefore the LCM of Fractions 93/656,660/752,820/764 is 209715

Greatest Common Factor of 656,752,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,752,764 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 656,752,764 . The biggest common factor number is the GCF number.
So the greatest common factor 656,752,764 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 93/656, 660/752, 820/764

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 93/656, 660/752, 820/764?

Answer: LCM of Numerators as per given numbers 93/656, 660/752, 820/764 is

LCM of Numerators i.e. for 93,660,820 is 838860

GCF of denominators i.e. for 656,752,764 is 4.

Thus, LCM of Fractions is 209715.Finally, LCM of Fractions for 93/656, 660/752, 820/764 is 209715.