Least Common Multiple of 1379/825, 2159/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1379/825, 2159/429 quickly i.e. 2977261/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1379/825, 2159/429 is 2977261/33.

LCM(1379/825, 2159/429) = 2977261/33

LCM of 1379/825, 2159/429

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 1379/825,2159/429

Given numbers are 1379/825,2159/429

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 1379,2159

Least Common Multiple of Numerators i.e. LCM of 1379,2159 is 2977261.

GCF of Denominators means GCF of 825,429 as per the given fractions.

GCF of 825,429 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1379,2159

LCM of Fractions 1379/825,2159/429 is 2977261/33

Given numbers has no common factors except 1. So, there LCM is their product i.e 2977261

Least Common Multiple of 1379,2159 with GCF Formula

Least Common Multiple of 1379,2159 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 1379,2159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1379,2159) = 1

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

GCF(1379,2159) x common factors =1 x 1 = 1

LCM(1379,2159) = ( 1379 × 2159 ) / 1

LCM(1379,2159) = 2977261 / 1

LCM(1379,2159) = 2977261


Lets's calculate GCF of 825,429

3 825, 429
11 275, 143
25, 13

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2977261/33

Therefore the LCM of Fractions 1379/825,2159/429 is 2977261/33

Greatest Common Factor of 825,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,429 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 825,429 . The biggest common factor number is the GCF number.
So the greatest common factor 825,429 is 33.


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 1379/825, 2159/429

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 1379/825, 2159/429?

Answer: LCM of Numerators as per given numbers 1379/825, 2159/429 is

LCM of Numerators i.e. for 1379,2159 is 2977261

GCF of denominators i.e. for 825,429 is 33.

Thus, LCM of Fractions is 2977261/33.Finally, LCM of Fractions for 1379/825, 2159/429 is 2977261/33.