Least Common Multiple of 60/96, 97/678, 893/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/96, 97/678, 893/338 quickly i.e. 2598630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/96, 97/678, 893/338 is 2598630.

LCM(60/96, 97/678, 893/338) = 2598630

LCM of 60/96, 97/678, 893/338

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 60/96,97/678,893/338

Given numbers are 60/96,97/678,893/338

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 60,97,893

Least Common Multiple of Numerators i.e. LCM of 60,97,893 is 5197260.

GCF of Denominators means GCF of 96,678,338 as per the given fractions.

GCF of 96,678,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,97,893

LCM of Fractions 60/96,97/678,893/338 is 2598630

Given numbers has no common factors except 1. So, there LCM is their product i.e 5197260

Least Common Multiple of 60,97,893 with GCF Formula

Least Common Multiple of 60,97,893 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 60,97,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,97,893) = 1

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

GCF(60,97,893) x common factors =1 x 1 = 1

LCM(60,97,893) = ( 60 × 97 × 893 ) / 1

LCM(60,97,893) = 5197260 / 1

LCM(60,97,893) = 5197260


Lets's calculate GCF of 96,678,338

2 96, 678, 338
48, 339, 169

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5197260/2

Therefore the LCM of Fractions 60/96,97/678,893/338 is 2598630

Greatest Common Factor of 96,678,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,678,338 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 96,678,338 . The biggest common factor number is the GCF number.
So the greatest common factor 96,678,338 is 2.


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 60/96, 97/678, 893/338

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 60/96, 97/678, 893/338?

Answer: LCM of Numerators as per given numbers 60/96, 97/678, 893/338 is

LCM of Numerators i.e. for 60,97,893 is 5197260

GCF of denominators i.e. for 96,678,338 is 2.

Thus, LCM of Fractions is 2598630.Finally, LCM of Fractions for 60/96, 97/678, 893/338 is 2598630.