Least Common Multiple of 97/28, 315/30, 748/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/28, 315/30, 748/558 quickly i.e. 11427570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/28, 315/30, 748/558 is 11427570.

LCM(97/28, 315/30, 748/558) = 11427570

LCM of 97/28, 315/30, 748/558

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 97/28,315/30,748/558

Given numbers are 97/28,315/30,748/558

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 97,315,748

Least Common Multiple of Numerators i.e. LCM of 97,315,748 is 22855140.

GCF of Denominators means GCF of 28,30,558 as per the given fractions.

GCF of 28,30,558 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,315,748

LCM of Fractions 97/28,315/30,748/558 is 11427570

Given numbers has no common factors except 1. So, there LCM is their product i.e 22855140

Least Common Multiple of 97,315,748 with GCF Formula

Least Common Multiple of 97,315,748 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 97,315,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,315,748) = 1

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

GCF(97,315,748) x common factors =1 x 1 = 1

LCM(97,315,748) = ( 97 × 315 × 748 ) / 1

LCM(97,315,748) = 22855140 / 1

LCM(97,315,748) = 22855140


Lets's calculate GCF of 28,30,558

2 28, 30, 558
14, 15, 279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22855140/2

Therefore the LCM of Fractions 97/28,315/30,748/558 is 11427570

Greatest Common Factor of 28,30,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,30,558 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 28,30,558 . The biggest common factor number is the GCF number.
So the greatest common factor 28,30,558 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 97/28, 315/30, 748/558

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 97/28, 315/30, 748/558?

Answer: LCM of Numerators as per given numbers 97/28, 315/30, 748/558 is

LCM of Numerators i.e. for 97,315,748 is 22855140

GCF of denominators i.e. for 28,30,558 is 2.

Thus, LCM of Fractions is 11427570.Finally, LCM of Fractions for 97/28, 315/30, 748/558 is 11427570.