Least Common Multiple of 32/975, 41/184, 632/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/975, 41/184, 632/645 quickly i.e. 103648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/975, 41/184, 632/645 is 103648.

LCM(32/975, 41/184, 632/645) = 103648

LCM of 32/975, 41/184, 632/645

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 32/975,41/184,632/645

Given numbers are 32/975,41/184,632/645

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 32,41,632

Least Common Multiple of Numerators i.e. LCM of 32,41,632 is 103648.

GCF of Denominators means GCF of 975,184,645 as per the given fractions.

GCF of 975,184,645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,41,632

LCM of Fractions 32/975,41/184,632/645 is 103648

2 32, 41, 632
2 16, 41, 316
2 8, 41, 158
4, 41, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 41 x 79 = 103648

Least Common Multiple of 32,41,632 with GCF Formula

Least Common Multiple of 32,41,632 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 32,41,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,41,632) = 1

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

GCF(32,41,632) x common factors =1 x 8 = 8

LCM(32,41,632) = ( 32 × 41 × 632 ) / 8

LCM(32,41,632) = 829184 / 8

LCM(32,41,632) = 103648


Lets's calculate GCF of 975,184,645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103648/1

Therefore the LCM of Fractions 32/975,41/184,632/645 is 103648

Greatest Common Factor of 975,184,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,184,645 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 975,184,645 . The biggest common factor number is the GCF number.
So the greatest common factor 975,184,645 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 32/975, 41/184, 632/645

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 32/975, 41/184, 632/645?

Answer: LCM of Numerators as per given numbers 32/975, 41/184, 632/645 is

LCM of Numerators i.e. for 32,41,632 is 103648

GCF of denominators i.e. for 975,184,645 is 1.

Thus, LCM of Fractions is 103648.Finally, LCM of Fractions for 32/975, 41/184, 632/645 is 103648.