Least Common Multiple of 295/52, 341/24, 891/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 295/52, 341/24, 891/829 quickly i.e. 8148195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 295/52, 341/24, 891/829 is 8148195.

LCM(295/52, 341/24, 891/829) = 8148195

LCM of 295/52, 341/24, 891/829

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 295/52,341/24,891/829

Given numbers are 295/52,341/24,891/829

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 295,341,891

Least Common Multiple of Numerators i.e. LCM of 295,341,891 is 8148195.

GCF of Denominators means GCF of 52,24,829 as per the given fractions.

GCF of 52,24,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 295,341,891

LCM of Fractions 295/52,341/24,891/829 is 8148195

11 295, 341, 891
295, 31, 81

∴ So the LCM of the given numbers is 11 x 295 x 31 x 81 = 8148195

Least Common Multiple of 295,341,891 with GCF Formula

Least Common Multiple of 295,341,891 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 295,341,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,341,891) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(295,341,891) x common factors =1 x 11 = 11

LCM(295,341,891) = ( 295 × 341 × 891 ) / 11

LCM(295,341,891) = 89630145 / 11

LCM(295,341,891) = 8148195


Lets's calculate GCF of 52,24,829

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8148195/1

Therefore the LCM of Fractions 295/52,341/24,891/829 is 8148195

Greatest Common Factor of 52,24,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,24,829 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 52,24,829 . The biggest common factor number is the GCF number.
So the greatest common factor 52,24,829 is 1.


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 295/52, 341/24, 891/829

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 295/52, 341/24, 891/829?

Answer: LCM of Numerators as per given numbers 295/52, 341/24, 891/829 is

LCM of Numerators i.e. for 295,341,891 is 8148195

GCF of denominators i.e. for 52,24,829 is 1.

Thus, LCM of Fractions is 8148195.Finally, LCM of Fractions for 295/52, 341/24, 891/829 is 8148195.