Least Common Multiple of 76/942, 6732/2670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/942, 6732/2670 quickly i.e. 21318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/942, 6732/2670 is 21318.

LCM(76/942, 6732/2670) = 21318

LCM of 76/942, 6732/2670

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 76/942,6732/2670

Given numbers are 76/942,6732/2670

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 76,6732

Least Common Multiple of Numerators i.e. LCM of 76,6732 is 127908.

GCF of Denominators means GCF of 942,2670 as per the given fractions.

GCF of 942,2670 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,6732

LCM of Fractions 76/942,6732/2670 is 21318

2 76, 6732
2 38, 3366
19, 1683

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1683 = 127908

Least Common Multiple of 76,6732 with GCF Formula

Least Common Multiple of 76,6732 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 76,6732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,6732) = 4

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

GCF(76,6732) x common factors =4 x 1 = 4

LCM(76,6732) = ( 76 × 6732 ) / 4

LCM(76,6732) = 511632 / 4

LCM(76,6732) = 127908


Lets's calculate GCF of 942,2670

2 942, 2670
3 471, 1335
157, 445

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127908/6

Therefore the LCM of Fractions 76/942,6732/2670 is 21318

Greatest Common Factor of 942,2670 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,2670 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 2670

List of positive integer factors of 2670 that divides 2670 without a remainder.

1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670

Greatest Common Factor

We found the factors 942,2670 . The biggest common factor number is the GCF number.
So the greatest common factor 942,2670 is 6.


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 76/942, 6732/2670

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 76/942, 6732/2670?

Answer: LCM of Numerators as per given numbers 76/942, 6732/2670 is

LCM of Numerators i.e. for 76,6732 is 127908

GCF of denominators i.e. for 942,2670 is 6.

Thus, LCM of Fractions is 21318.Finally, LCM of Fractions for 76/942, 6732/2670 is 21318.