Least Common Multiple of 998/57, 306/46, 968/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/57, 306/46, 968/748 quickly i.e. 73903896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/57, 306/46, 968/748 is 73903896.

LCM(998/57, 306/46, 968/748) = 73903896

LCM of 998/57, 306/46, 968/748

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 998/57,306/46,968/748

Given numbers are 998/57,306/46,968/748

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 998,306,968

Least Common Multiple of Numerators i.e. LCM of 998,306,968 is 73903896.

GCF of Denominators means GCF of 57,46,748 as per the given fractions.

GCF of 57,46,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,306,968

LCM of Fractions 998/57,306/46,968/748 is 73903896

2 998, 306, 968
499, 153, 484

∴ So the LCM of the given numbers is 2 x 499 x 153 x 484 = 73903896

Least Common Multiple of 998,306,968 with GCF Formula

Least Common Multiple of 998,306,968 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 998,306,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,306,968) = 2

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

GCF(998,306,968) x common factors =2 x 2 = 4

LCM(998,306,968) = ( 998 × 306 × 968 ) / 4

LCM(998,306,968) = 295615584 / 4

LCM(998,306,968) = 73903896


Lets's calculate GCF of 57,46,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73903896/1

Therefore the LCM of Fractions 998/57,306/46,968/748 is 73903896

Greatest Common Factor of 57,46,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,46,748 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 57,46,748 . The biggest common factor number is the GCF number.
So the greatest common factor 57,46,748 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 998/57, 306/46, 968/748

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 998/57, 306/46, 968/748?

Answer: LCM of Numerators as per given numbers 998/57, 306/46, 968/748 is

LCM of Numerators i.e. for 998,306,968 is 73903896

GCF of denominators i.e. for 57,46,748 is 1.

Thus, LCM of Fractions is 73903896.Finally, LCM of Fractions for 998/57, 306/46, 968/748 is 73903896.