Least Common Multiple of 30/96, 66/14, 76/51, 57/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/96, 66/14, 76/51, 57/674 quickly i.e. 12540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/96, 66/14, 76/51, 57/674 is 12540.

LCM(30/96, 66/14, 76/51, 57/674) = 12540

LCM of 30/96, 66/14, 76/51, 57/674

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 30/96,66/14,76/51,57/674

Given numbers are 30/96,66/14,76/51,57/674

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 30,66,76,57

Least Common Multiple of Numerators i.e. LCM of 30,66,76,57 is 12540.

GCF of Denominators means GCF of 96,14,51,674 as per the given fractions.

GCF of 96,14,51,674 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,66,76,57

LCM of Fractions 30/96,66/14,76/51,57/674 is 12540

2 30, 66, 76, 57
3 15, 33, 38, 57
19 5, 11, 38, 19
5, 11, 2, 1

∴ So the LCM of the given numbers is 2 x 3 x 19 x 5 x 11 x 2 x 1 = 12540

Least Common Multiple of 30,66,76,57 with GCF Formula

Least Common Multiple of 30,66,76,57 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 30,66,76,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,66,76,57) = 1

common factors(in case of two or more numbers have common factors) = 684

GCF(30,66,76,57) x common factors =1 x 684 = 684

LCM(30,66,76,57) = ( 30 × 66 × 76 × 57 ) / 684

LCM(30,66,76,57) = 8577360 / 684

LCM(30,66,76,57) = 12540


Lets's calculate GCF of 96,14,51,674

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12540/1

Therefore the LCM of Fractions 30/96,66/14,76/51,57/674 is 12540

Greatest Common Factor of 96,14,51,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,14,51,674 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 14

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

1,2,7,14

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 96,14,51,674 . The biggest common factor number is the GCF number.
So the greatest common factor 96,14,51,674 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 30/96, 66/14, 76/51, 57/674

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 30/96, 66/14, 76/51, 57/674?

Answer: LCM of Numerators as per given numbers 30/96, 66/14, 76/51, 57/674 is

LCM of Numerators i.e. for 30,66,76,57 is 12540

GCF of denominators i.e. for 96,14,51,674 is 1.

Thus, LCM of Fractions is 12540.Finally, LCM of Fractions for 30/96, 66/14, 76/51, 57/674 is 12540.