Least Common Multiple of 742/66, 656/4756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 742/66, 656/4756 quickly i.e. 121688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/66, 656/4756 is 121688.

LCM(742/66, 656/4756) = 121688

LCM of 742/66, 656/4756

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 742/66,656/4756

Given numbers are 742/66,656/4756

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 742,656

Least Common Multiple of Numerators i.e. LCM of 742,656 is 243376.

GCF of Denominators means GCF of 66,4756 as per the given fractions.

GCF of 66,4756 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,656

LCM of Fractions 742/66,656/4756 is 121688

2 742, 656
371, 328

∴ So the LCM of the given numbers is 2 x 371 x 328 = 243376

Least Common Multiple of 742,656 with GCF Formula

Least Common Multiple of 742,656 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 742,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,656) = 2

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

GCF(742,656) x common factors =2 x 1 = 2

LCM(742,656) = ( 742 × 656 ) / 2

LCM(742,656) = 486752 / 2

LCM(742,656) = 243376


Lets's calculate GCF of 66,4756

2 66, 4756
33, 2378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243376/2

Therefore the LCM of Fractions 742/66,656/4756 is 121688

Greatest Common Factor of 66,4756 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,4756 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 4756

List of positive integer factors of 4756 that divides 4756 without a remainder.

1,2,4,29,41,58,82,116,164,1189,2378,4756

Greatest Common Factor

We found the factors 66,4756 . The biggest common factor number is the GCF number.
So the greatest common factor 66,4756 is 2.


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 742/66, 656/4756

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 742/66, 656/4756?

Answer: LCM of Numerators as per given numbers 742/66, 656/4756 is

LCM of Numerators i.e. for 742,656 is 243376

GCF of denominators i.e. for 66,4756 is 2.

Thus, LCM of Fractions is 121688.Finally, LCM of Fractions for 742/66, 656/4756 is 121688.