Least Common Multiple of 780/99, 970/9759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/99, 970/9759 quickly i.e. 25220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/99, 970/9759 is 25220.

LCM(780/99, 970/9759) = 25220

LCM of 780/99, 970/9759

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 780/99,970/9759

Given numbers are 780/99,970/9759

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 780,970

Least Common Multiple of Numerators i.e. LCM of 780,970 is 75660.

GCF of Denominators means GCF of 99,9759 as per the given fractions.

GCF of 99,9759 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,970

LCM of Fractions 780/99,970/9759 is 25220

2 780, 970
5 390, 485
78, 97

∴ So the LCM of the given numbers is 2 x 5 x 78 x 97 = 75660

Least Common Multiple of 780,970 with GCF Formula

Least Common Multiple of 780,970 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 780,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,970) = 10

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

GCF(780,970) x common factors =10 x 1 = 10

LCM(780,970) = ( 780 × 970 ) / 10

LCM(780,970) = 756600 / 10

LCM(780,970) = 75660


Lets's calculate GCF of 99,9759

3 99, 9759
33, 3253

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75660/3

Therefore the LCM of Fractions 780/99,970/9759 is 25220

Greatest Common Factor of 99,9759 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,9759 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 9759

List of positive integer factors of 9759 that divides 9759 without a remainder.

1,3,3253,9759

Greatest Common Factor

We found the factors 99,9759 . The biggest common factor number is the GCF number.
So the greatest common factor 99,9759 is 3.


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 780/99, 970/9759

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 780/99, 970/9759?

Answer: LCM of Numerators as per given numbers 780/99, 970/9759 is

LCM of Numerators i.e. for 780,970 is 75660

GCF of denominators i.e. for 99,9759 is 3.

Thus, LCM of Fractions is 25220.Finally, LCM of Fractions for 780/99, 970/9759 is 25220.