Least Common Multiple of 798/60, 403/95, 928/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 798/60, 403/95, 928/101 quickly i.e. 149219616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/60, 403/95, 928/101 is 149219616.

LCM(798/60, 403/95, 928/101) = 149219616

LCM of 798/60, 403/95, 928/101

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 798/60,403/95,928/101

Given numbers are 798/60,403/95,928/101

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 798,403,928

Least Common Multiple of Numerators i.e. LCM of 798,403,928 is 149219616.

GCF of Denominators means GCF of 60,95,101 as per the given fractions.

GCF of 60,95,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,403,928

LCM of Fractions 798/60,403/95,928/101 is 149219616

2 798, 403, 928
399, 403, 464

∴ So the LCM of the given numbers is 2 x 399 x 403 x 464 = 149219616

Least Common Multiple of 798,403,928 with GCF Formula

Least Common Multiple of 798,403,928 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 798,403,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,403,928) = 1

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

GCF(798,403,928) x common factors =1 x 2 = 2

LCM(798,403,928) = ( 798 × 403 × 928 ) / 2

LCM(798,403,928) = 298439232 / 2

LCM(798,403,928) = 149219616


Lets's calculate GCF of 60,95,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149219616/1

Therefore the LCM of Fractions 798/60,403/95,928/101 is 149219616

Greatest Common Factor of 60,95,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,95,101 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 60,95,101 . The biggest common factor number is the GCF number.
So the greatest common factor 60,95,101 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 798/60, 403/95, 928/101

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 798/60, 403/95, 928/101?

Answer: LCM of Numerators as per given numbers 798/60, 403/95, 928/101 is

LCM of Numerators i.e. for 798,403,928 is 149219616

GCF of denominators i.e. for 60,95,101 is 1.

Thus, LCM of Fractions is 149219616.Finally, LCM of Fractions for 798/60, 403/95, 928/101 is 149219616.