Least Common Multiple of 57/93, 93/35, 99/76, 66/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/93, 93/35, 99/76, 66/778 quickly i.e. 116622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/93, 93/35, 99/76, 66/778 is 116622.

LCM(57/93, 93/35, 99/76, 66/778) = 116622

LCM of 57/93, 93/35, 99/76, 66/778

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 57/93,93/35,99/76,66/778

Given numbers are 57/93,93/35,99/76,66/778

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 57,93,99,66

Least Common Multiple of Numerators i.e. LCM of 57,93,99,66 is 116622.

GCF of Denominators means GCF of 93,35,76,778 as per the given fractions.

GCF of 93,35,76,778 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,93,99,66

LCM of Fractions 57/93,93/35,99/76,66/778 is 116622

3 57, 93, 99, 66
11 19, 31, 33, 22
19, 31, 3, 2

∴ So the LCM of the given numbers is 3 x 11 x 19 x 31 x 3 x 2 = 116622

Least Common Multiple of 57,93,99,66 with GCF Formula

Least Common Multiple of 57,93,99,66 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 57,93,99,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,93,99,66) = 3

common factors(in case of two or more numbers have common factors) = 99

GCF(57,93,99,66) x common factors =3 x 99 = 297

LCM(57,93,99,66) = ( 57 × 93 × 99 × 66 ) / 297

LCM(57,93,99,66) = 34636734 / 297

LCM(57,93,99,66) = 116622


Lets's calculate GCF of 93,35,76,778

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116622/1

Therefore the LCM of Fractions 57/93,93/35,99/76,66/778 is 116622

Greatest Common Factor of 93,35,76,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,35,76,778 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 93,35,76,778 . The biggest common factor number is the GCF number.
So the greatest common factor 93,35,76,778 is 1.


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Frequently Asked Questions on Fractional LCM of 57/93, 93/35, 99/76, 66/778

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 57/93, 93/35, 99/76, 66/778?

Answer: LCM of Numerators as per given numbers 57/93, 93/35, 99/76, 66/778 is

LCM of Numerators i.e. for 57,93,99,66 is 116622

GCF of denominators i.e. for 93,35,76,778 is 1.

Thus, LCM of Fractions is 116622.Finally, LCM of Fractions for 57/93, 93/35, 99/76, 66/778 is 116622.