Least Common Multiple of 57/14, 30/76, 49/73, 76/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/14, 30/76, 49/73, 76/308 quickly i.e. 55860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/14, 30/76, 49/73, 76/308 is 55860.

LCM(57/14, 30/76, 49/73, 76/308) = 55860

LCM of 57/14, 30/76, 49/73, 76/308

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 57/14,30/76,49/73,76/308

Given numbers are 57/14,30/76,49/73,76/308

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 57,30,49,76

Least Common Multiple of Numerators i.e. LCM of 57,30,49,76 is 55860.

GCF of Denominators means GCF of 14,76,73,308 as per the given fractions.

GCF of 14,76,73,308 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,30,49,76

LCM of Fractions 57/14,30/76,49/73,76/308 is 55860

2 57, 30, 49, 76
3 57, 15, 49, 38
19 19, 5, 49, 38
1, 5, 49, 2

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 5 x 49 x 2 = 55860

Least Common Multiple of 57,30,49,76 with GCF Formula

Least Common Multiple of 57,30,49,76 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 57,30,49,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,30,49,76) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(57,30,49,76) x common factors =1 x 114 = 114

LCM(57,30,49,76) = ( 57 × 30 × 49 × 76 ) / 114

LCM(57,30,49,76) = 6368040 / 114

LCM(57,30,49,76) = 55860


Lets's calculate GCF of 14,76,73,308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55860/1

Therefore the LCM of Fractions 57/14,30/76,49/73,76/308 is 55860

Greatest Common Factor of 14,76,73,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,76,73,308 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 76

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

1,2,4,19,38,76

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 14,76,73,308 . The biggest common factor number is the GCF number.
So the greatest common factor 14,76,73,308 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 57/14, 30/76, 49/73, 76/308

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 57/14, 30/76, 49/73, 76/308?

Answer: LCM of Numerators as per given numbers 57/14, 30/76, 49/73, 76/308 is

LCM of Numerators i.e. for 57,30,49,76 is 55860

GCF of denominators i.e. for 14,76,73,308 is 1.

Thus, LCM of Fractions is 55860.Finally, LCM of Fractions for 57/14, 30/76, 49/73, 76/308 is 55860.