Least Common Multiple of 88/460, 784/583, 747/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/460, 784/583, 747/576 quickly i.e. 6442128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/460, 784/583, 747/576 is 6442128.

LCM(88/460, 784/583, 747/576) = 6442128

LCM of 88/460, 784/583, 747/576

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 88/460,784/583,747/576

Given numbers are 88/460,784/583,747/576

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 88,784,747

Least Common Multiple of Numerators i.e. LCM of 88,784,747 is 6442128.

GCF of Denominators means GCF of 460,583,576 as per the given fractions.

GCF of 460,583,576 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,784,747

LCM of Fractions 88/460,784/583,747/576 is 6442128

2 88, 784, 747
2 44, 392, 747
2 22, 196, 747
11, 98, 747

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 98 x 747 = 6442128

Least Common Multiple of 88,784,747 with GCF Formula

Least Common Multiple of 88,784,747 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 88,784,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,784,747) = 1

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

GCF(88,784,747) x common factors =1 x 8 = 8

LCM(88,784,747) = ( 88 × 784 × 747 ) / 8

LCM(88,784,747) = 51537024 / 8

LCM(88,784,747) = 6442128


Lets's calculate GCF of 460,583,576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6442128/1

Therefore the LCM of Fractions 88/460,784/583,747/576 is 6442128

Greatest Common Factor of 460,583,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,583,576 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 460,583,576 . The biggest common factor number is the GCF number.
So the greatest common factor 460,583,576 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 88/460, 784/583, 747/576

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 88/460, 784/583, 747/576?

Answer: LCM of Numerators as per given numbers 88/460, 784/583, 747/576 is

LCM of Numerators i.e. for 88,784,747 is 6442128

GCF of denominators i.e. for 460,583,576 is 1.

Thus, LCM of Fractions is 6442128.Finally, LCM of Fractions for 88/460, 784/583, 747/576 is 6442128.