Least Common Multiple of 32/276, 4766/8947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/276, 4766/8947 quickly i.e. 76256/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/276, 4766/8947 is 76256/23.

LCM(32/276, 4766/8947) = 76256/23

LCM of 32/276, 4766/8947

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 32/276,4766/8947

Given numbers are 32/276,4766/8947

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 32,4766

Least Common Multiple of Numerators i.e. LCM of 32,4766 is 76256.

GCF of Denominators means GCF of 276,8947 as per the given fractions.

GCF of 276,8947 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,4766

LCM of Fractions 32/276,4766/8947 is 76256/23

2 32, 4766
16, 2383

∴ So the LCM of the given numbers is 2 x 16 x 2383 = 76256

Least Common Multiple of 32,4766 with GCF Formula

Least Common Multiple of 32,4766 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 32,4766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,4766) = 2

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

GCF(32,4766) x common factors =2 x 1 = 2

LCM(32,4766) = ( 32 × 4766 ) / 2

LCM(32,4766) = 152512 / 2

LCM(32,4766) = 76256


Lets's calculate GCF of 276,8947

23 276, 8947
12, 389

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76256/23

Therefore the LCM of Fractions 32/276,4766/8947 is 76256/23

Greatest Common Factor of 276,8947 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,8947 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 8947

List of positive integer factors of 8947 that divides 8947 without a remainder.

1,23,389,8947

Greatest Common Factor

We found the factors 276,8947 . The biggest common factor number is the GCF number.
So the greatest common factor 276,8947 is 23.


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 32/276, 4766/8947

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 32/276, 4766/8947?

Answer: LCM of Numerators as per given numbers 32/276, 4766/8947 is

LCM of Numerators i.e. for 32,4766 is 76256

GCF of denominators i.e. for 276,8947 is 23.

Thus, LCM of Fractions is 76256/23.Finally, LCM of Fractions for 32/276, 4766/8947 is 76256/23.