Least Common Multiple of 78/970, 507/754, 751/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/970, 507/754, 751/597 quickly i.e. 761514 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/970, 507/754, 751/597 is 761514.

LCM(78/970, 507/754, 751/597) = 761514

LCM of 78/970, 507/754, 751/597

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 78/970,507/754,751/597

Given numbers are 78/970,507/754,751/597

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 78,507,751

Least Common Multiple of Numerators i.e. LCM of 78,507,751 is 761514.

GCF of Denominators means GCF of 970,754,597 as per the given fractions.

GCF of 970,754,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,507,751

LCM of Fractions 78/970,507/754,751/597 is 761514

3 78, 507, 751
13 26, 169, 751
2, 13, 751

∴ So the LCM of the given numbers is 3 x 13 x 2 x 13 x 751 = 761514

Least Common Multiple of 78,507,751 with GCF Formula

Least Common Multiple of 78,507,751 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 78,507,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,507,751) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(78,507,751) x common factors =1 x 39 = 39

LCM(78,507,751) = ( 78 × 507 × 751 ) / 39

LCM(78,507,751) = 29699046 / 39

LCM(78,507,751) = 761514


Lets's calculate GCF of 970,754,597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 761514/1

Therefore the LCM of Fractions 78/970,507/754,751/597 is 761514

Greatest Common Factor of 970,754,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,754,597 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 970,754,597 . The biggest common factor number is the GCF number.
So the greatest common factor 970,754,597 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 78/970, 507/754, 751/597

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 78/970, 507/754, 751/597?

Answer: LCM of Numerators as per given numbers 78/970, 507/754, 751/597 is

LCM of Numerators i.e. for 78,507,751 is 761514

GCF of denominators i.e. for 970,754,597 is 1.

Thus, LCM of Fractions is 761514.Finally, LCM of Fractions for 78/970, 507/754, 751/597 is 761514.