Least Common Multiple of 748/87, 344/64, 576/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 748/87, 344/64, 576/906 quickly i.e. 4631616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/87, 344/64, 576/906 is 4631616.

LCM(748/87, 344/64, 576/906) = 4631616

LCM of 748/87, 344/64, 576/906

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 748/87,344/64,576/906

Given numbers are 748/87,344/64,576/906

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 748,344,576

Least Common Multiple of Numerators i.e. LCM of 748,344,576 is 4631616.

GCF of Denominators means GCF of 87,64,906 as per the given fractions.

GCF of 87,64,906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,344,576

LCM of Fractions 748/87,344/64,576/906 is 4631616

2 748, 344, 576
2 374, 172, 288
2 187, 86, 144
187, 43, 72

∴ So the LCM of the given numbers is 2 x 2 x 2 x 187 x 43 x 72 = 4631616

Least Common Multiple of 748,344,576 with GCF Formula

Least Common Multiple of 748,344,576 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 748,344,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,344,576) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(748,344,576) x common factors =4 x 8 = 32

LCM(748,344,576) = ( 748 × 344 × 576 ) / 32

LCM(748,344,576) = 148211712 / 32

LCM(748,344,576) = 4631616


Lets's calculate GCF of 87,64,906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4631616/1

Therefore the LCM of Fractions 748/87,344/64,576/906 is 4631616

Greatest Common Factor of 87,64,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,64,906 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 87,64,906 . The biggest common factor number is the GCF number.
So the greatest common factor 87,64,906 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 748/87, 344/64, 576/906

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 748/87, 344/64, 576/906?

Answer: LCM of Numerators as per given numbers 748/87, 344/64, 576/906 is

LCM of Numerators i.e. for 748,344,576 is 4631616

GCF of denominators i.e. for 87,64,906 is 1.

Thus, LCM of Fractions is 4631616.Finally, LCM of Fractions for 748/87, 344/64, 576/906 is 4631616.