Least Common Multiple of 80/838, 342/370, 722/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/838, 342/370, 722/883 quickly i.e. 259920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/838, 342/370, 722/883 is 259920.

LCM(80/838, 342/370, 722/883) = 259920

LCM of 80/838, 342/370, 722/883

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 80/838,342/370,722/883

Given numbers are 80/838,342/370,722/883

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 80,342,722

Least Common Multiple of Numerators i.e. LCM of 80,342,722 is 259920.

GCF of Denominators means GCF of 838,370,883 as per the given fractions.

GCF of 838,370,883 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,342,722

LCM of Fractions 80/838,342/370,722/883 is 259920

2 80, 342, 722
19 40, 171, 361
40, 9, 19

∴ So the LCM of the given numbers is 2 x 19 x 40 x 9 x 19 = 259920

Least Common Multiple of 80,342,722 with GCF Formula

Least Common Multiple of 80,342,722 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 80,342,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,342,722) = 2

common factors(in case of two or more numbers have common factors) = 38

GCF(80,342,722) x common factors =2 x 38 = 76

LCM(80,342,722) = ( 80 × 342 × 722 ) / 76

LCM(80,342,722) = 19753920 / 76

LCM(80,342,722) = 259920


Lets's calculate GCF of 838,370,883

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259920/1

Therefore the LCM of Fractions 80/838,342/370,722/883 is 259920

Greatest Common Factor of 838,370,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,370,883 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 838,370,883 . The biggest common factor number is the GCF number.
So the greatest common factor 838,370,883 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 80/838, 342/370, 722/883

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 80/838, 342/370, 722/883?

Answer: LCM of Numerators as per given numbers 80/838, 342/370, 722/883 is

LCM of Numerators i.e. for 80,342,722 is 259920

GCF of denominators i.e. for 838,370,883 is 1.

Thus, LCM of Fractions is 259920.Finally, LCM of Fractions for 80/838, 342/370, 722/883 is 259920.