Least Common Multiple of 2822/130, 7920/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2822/130, 7920/812 quickly i.e. 5587560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2822/130, 7920/812 is 5587560.

LCM(2822/130, 7920/812) = 5587560

LCM of 2822/130, 7920/812

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 2822/130,7920/812

Given numbers are 2822/130,7920/812

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 2822,7920

Least Common Multiple of Numerators i.e. LCM of 2822,7920 is 11175120.

GCF of Denominators means GCF of 130,812 as per the given fractions.

GCF of 130,812 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2822,7920

LCM of Fractions 2822/130,7920/812 is 5587560

2 2822, 7920
1411, 3960

∴ So the LCM of the given numbers is 2 x 1411 x 3960 = 11175120

Least Common Multiple of 2822,7920 with GCF Formula

Least Common Multiple of 2822,7920 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 2822,7920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2822,7920) = 2

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

GCF(2822,7920) x common factors =2 x 1 = 2

LCM(2822,7920) = ( 2822 × 7920 ) / 2

LCM(2822,7920) = 22350240 / 2

LCM(2822,7920) = 11175120


Lets's calculate GCF of 130,812

2 130, 812
65, 406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11175120/2

Therefore the LCM of Fractions 2822/130,7920/812 is 5587560

Greatest Common Factor of 130,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,812 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 130,812 . The biggest common factor number is the GCF number.
So the greatest common factor 130,812 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 2822/130, 7920/812

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 2822/130, 7920/812?

Answer: LCM of Numerators as per given numbers 2822/130, 7920/812 is

LCM of Numerators i.e. for 2822,7920 is 11175120

GCF of denominators i.e. for 130,812 is 2.

Thus, LCM of Fractions is 5587560.Finally, LCM of Fractions for 2822/130, 7920/812 is 5587560.