Least Common Multiple of 97/146, 32/743, 438/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/146, 32/743, 438/648 quickly i.e. 679776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/146, 32/743, 438/648 is 679776.

LCM(97/146, 32/743, 438/648) = 679776

LCM of 97/146, 32/743, 438/648

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 97/146,32/743,438/648

Given numbers are 97/146,32/743,438/648

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 97,32,438

Least Common Multiple of Numerators i.e. LCM of 97,32,438 is 679776.

GCF of Denominators means GCF of 146,743,648 as per the given fractions.

GCF of 146,743,648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,32,438

LCM of Fractions 97/146,32/743,438/648 is 679776

2 97, 32, 438
97, 16, 219

∴ So the LCM of the given numbers is 2 x 97 x 16 x 219 = 679776

Least Common Multiple of 97,32,438 with GCF Formula

Least Common Multiple of 97,32,438 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 97,32,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,32,438) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(97,32,438) x common factors =1 x 2 = 2

LCM(97,32,438) = ( 97 × 32 × 438 ) / 2

LCM(97,32,438) = 1359552 / 2

LCM(97,32,438) = 679776


Lets's calculate GCF of 146,743,648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 679776/1

Therefore the LCM of Fractions 97/146,32/743,438/648 is 679776

Greatest Common Factor of 146,743,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,743,648 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 146,743,648 . The biggest common factor number is the GCF number.
So the greatest common factor 146,743,648 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 97/146, 32/743, 438/648

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 97/146, 32/743, 438/648?

Answer: LCM of Numerators as per given numbers 97/146, 32/743, 438/648 is

LCM of Numerators i.e. for 97,32,438 is 679776

GCF of denominators i.e. for 146,743,648 is 1.

Thus, LCM of Fractions is 679776.Finally, LCM of Fractions for 97/146, 32/743, 438/648 is 679776.