Least Common Multiple of 1869/879, 1083/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1869/879, 1083/852 quickly i.e. 224903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1869/879, 1083/852 is 224903.

LCM(1869/879, 1083/852) = 224903

LCM of 1869/879, 1083/852

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 1869/879,1083/852

Given numbers are 1869/879,1083/852

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 1869,1083

Least Common Multiple of Numerators i.e. LCM of 1869,1083 is 674709.

GCF of Denominators means GCF of 879,852 as per the given fractions.

GCF of 879,852 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1869,1083

LCM of Fractions 1869/879,1083/852 is 224903

3 1869, 1083
623, 361

∴ So the LCM of the given numbers is 3 x 623 x 361 = 674709

Least Common Multiple of 1869,1083 with GCF Formula

Least Common Multiple of 1869,1083 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 1869,1083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1869,1083) = 3

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

GCF(1869,1083) x common factors =3 x 1 = 3

LCM(1869,1083) = ( 1869 × 1083 ) / 3

LCM(1869,1083) = 2024127 / 3

LCM(1869,1083) = 674709


Lets's calculate GCF of 879,852

3 879, 852
293, 284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674709/3

Therefore the LCM of Fractions 1869/879,1083/852 is 224903

Greatest Common Factor of 879,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,852 By Matching Biggest Common Factor Method

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 879,852 . The biggest common factor number is the GCF number.
So the greatest common factor 879,852 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 1869/879, 1083/852

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 1869/879, 1083/852?

Answer: LCM of Numerators as per given numbers 1869/879, 1083/852 is

LCM of Numerators i.e. for 1869,1083 is 674709

GCF of denominators i.e. for 879,852 is 3.

Thus, LCM of Fractions is 224903.Finally, LCM of Fractions for 1869/879, 1083/852 is 224903.