Least Common Multiple of 7130/778, 9835/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7130/778, 9835/920 quickly i.e. 7012355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7130/778, 9835/920 is 7012355.

LCM(7130/778, 9835/920) = 7012355

LCM of 7130/778, 9835/920

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 7130/778,9835/920

Given numbers are 7130/778,9835/920

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 7130,9835

Least Common Multiple of Numerators i.e. LCM of 7130,9835 is 14024710.

GCF of Denominators means GCF of 778,920 as per the given fractions.

GCF of 778,920 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7130,9835

LCM of Fractions 7130/778,9835/920 is 7012355

5 7130, 9835
1426, 1967

∴ So the LCM of the given numbers is 5 x 1426 x 1967 = 14024710

Least Common Multiple of 7130,9835 with GCF Formula

Least Common Multiple of 7130,9835 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 7130,9835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7130,9835) = 5

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

GCF(7130,9835) x common factors =5 x 1 = 5

LCM(7130,9835) = ( 7130 × 9835 ) / 5

LCM(7130,9835) = 70123550 / 5

LCM(7130,9835) = 14024710


Lets's calculate GCF of 778,920

2 778, 920
389, 460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14024710/2

Therefore the LCM of Fractions 7130/778,9835/920 is 7012355

Greatest Common Factor of 778,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,920 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 778,920 . The biggest common factor number is the GCF number.
So the greatest common factor 778,920 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 7130/778, 9835/920

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 7130/778, 9835/920?

Answer: LCM of Numerators as per given numbers 7130/778, 9835/920 is

LCM of Numerators i.e. for 7130,9835 is 14024710

GCF of denominators i.e. for 778,920 is 2.

Thus, LCM of Fractions is 7012355.Finally, LCM of Fractions for 7130/778, 9835/920 is 7012355.