Least Common Multiple of 97/630, 21/508, 748/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/630, 21/508, 748/753 quickly i.e. 1523676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/630, 21/508, 748/753 is 1523676.

LCM(97/630, 21/508, 748/753) = 1523676

LCM of 97/630, 21/508, 748/753

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 97/630,21/508,748/753

Given numbers are 97/630,21/508,748/753

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 97,21,748

Least Common Multiple of Numerators i.e. LCM of 97,21,748 is 1523676.

GCF of Denominators means GCF of 630,508,753 as per the given fractions.

GCF of 630,508,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,21,748

LCM of Fractions 97/630,21/508,748/753 is 1523676

Given numbers has no common factors except 1. So, there LCM is their product i.e 1523676

Least Common Multiple of 97,21,748 with GCF Formula

Least Common Multiple of 97,21,748 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 97,21,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,21,748) = 1

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

GCF(97,21,748) x common factors =1 x 1 = 1

LCM(97,21,748) = ( 97 × 21 × 748 ) / 1

LCM(97,21,748) = 1523676 / 1

LCM(97,21,748) = 1523676


Lets's calculate GCF of 630,508,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1523676/1

Therefore the LCM of Fractions 97/630,21/508,748/753 is 1523676

Greatest Common Factor of 630,508,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,508,753 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 630,508,753 . The biggest common factor number is the GCF number.
So the greatest common factor 630,508,753 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 97/630, 21/508, 748/753

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 97/630, 21/508, 748/753?

Answer: LCM of Numerators as per given numbers 97/630, 21/508, 748/753 is

LCM of Numerators i.e. for 97,21,748 is 1523676

GCF of denominators i.e. for 630,508,753 is 1.

Thus, LCM of Fractions is 1523676.Finally, LCM of Fractions for 97/630, 21/508, 748/753 is 1523676.