Least Common Multiple of 7980/896, 2219/1113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7980/896, 2219/1113 quickly i.e. 361380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7980/896, 2219/1113 is 361380.

LCM(7980/896, 2219/1113) = 361380

LCM of 7980/896, 2219/1113

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 7980/896,2219/1113

Given numbers are 7980/896,2219/1113

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 7980,2219

Least Common Multiple of Numerators i.e. LCM of 7980,2219 is 2529660.

GCF of Denominators means GCF of 896,1113 as per the given fractions.

GCF of 896,1113 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7980,2219

LCM of Fractions 7980/896,2219/1113 is 361380

7 7980, 2219
1140, 317

∴ So the LCM of the given numbers is 7 x 1140 x 317 = 2529660

Least Common Multiple of 7980,2219 with GCF Formula

Least Common Multiple of 7980,2219 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 7980,2219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7980,2219) = 7

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

GCF(7980,2219) x common factors =7 x 1 = 7

LCM(7980,2219) = ( 7980 × 2219 ) / 7

LCM(7980,2219) = 17707620 / 7

LCM(7980,2219) = 2529660


Lets's calculate GCF of 896,1113

7 896, 1113
128, 159

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2529660/7

Therefore the LCM of Fractions 7980/896,2219/1113 is 361380

Greatest Common Factor of 896,1113 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,1113 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 1113

List of positive integer factors of 1113 that divides 1113 without a remainder.

1,3,7,21,53,159,371,1113

Greatest Common Factor

We found the factors 896,1113 . The biggest common factor number is the GCF number.
So the greatest common factor 896,1113 is 7.


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 7980/896, 2219/1113

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 7980/896, 2219/1113?

Answer: LCM of Numerators as per given numbers 7980/896, 2219/1113 is

LCM of Numerators i.e. for 7980,2219 is 2529660

GCF of denominators i.e. for 896,1113 is 7.

Thus, LCM of Fractions is 361380.Finally, LCM of Fractions for 7980/896, 2219/1113 is 361380.