Least Common Multiple of 127/500, 838/726, 846/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 127/500, 838/726, 846/286 quickly i.e. 22509099 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 127/500, 838/726, 846/286 is 22509099.

LCM(127/500, 838/726, 846/286) = 22509099

LCM of 127/500, 838/726, 846/286

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 127/500,838/726,846/286

Given numbers are 127/500,838/726,846/286

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 127,838,846

Least Common Multiple of Numerators i.e. LCM of 127,838,846 is 45018198.

GCF of Denominators means GCF of 500,726,286 as per the given fractions.

GCF of 500,726,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 127,838,846

LCM of Fractions 127/500,838/726,846/286 is 22509099

2 127, 838, 846
127, 419, 423

∴ So the LCM of the given numbers is 2 x 127 x 419 x 423 = 45018198

Least Common Multiple of 127,838,846 with GCF Formula

Least Common Multiple of 127,838,846 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 127,838,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,838,846) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(127,838,846) x common factors =1 x 2 = 2

LCM(127,838,846) = ( 127 × 838 × 846 ) / 2

LCM(127,838,846) = 90036396 / 2

LCM(127,838,846) = 45018198


Lets's calculate GCF of 500,726,286

2 500, 726, 286
250, 363, 143

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45018198/2

Therefore the LCM of Fractions 127/500,838/726,846/286 is 22509099

Greatest Common Factor of 500,726,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,726,286 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 500,726,286 . The biggest common factor number is the GCF number.
So the greatest common factor 500,726,286 is 2.


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 127/500, 838/726, 846/286

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 127/500, 838/726, 846/286?

Answer: LCM of Numerators as per given numbers 127/500, 838/726, 846/286 is

LCM of Numerators i.e. for 127,838,846 is 45018198

GCF of denominators i.e. for 500,726,286 is 2.

Thus, LCM of Fractions is 22509099.Finally, LCM of Fractions for 127/500, 838/726, 846/286 is 22509099.