Least Common Multiple of 50/871, 440/715, 912/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/871, 440/715, 912/725 quickly i.e. 250800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/871, 440/715, 912/725 is 250800.

LCM(50/871, 440/715, 912/725) = 250800

LCM of 50/871, 440/715, 912/725

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 50/871,440/715,912/725

Given numbers are 50/871,440/715,912/725

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 50,440,912

Least Common Multiple of Numerators i.e. LCM of 50,440,912 is 250800.

GCF of Denominators means GCF of 871,715,725 as per the given fractions.

GCF of 871,715,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,440,912

LCM of Fractions 50/871,440/715,912/725 is 250800

2 50, 440, 912
2 25, 220, 456
2 25, 110, 228
5 25, 55, 114
5, 11, 114

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 11 x 114 = 250800

Least Common Multiple of 50,440,912 with GCF Formula

Least Common Multiple of 50,440,912 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 50,440,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,440,912) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(50,440,912) x common factors =2 x 40 = 80

LCM(50,440,912) = ( 50 × 440 × 912 ) / 80

LCM(50,440,912) = 20064000 / 80

LCM(50,440,912) = 250800


Lets's calculate GCF of 871,715,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250800/1

Therefore the LCM of Fractions 50/871,440/715,912/725 is 250800

Greatest Common Factor of 871,715,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,715,725 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 871,715,725 . The biggest common factor number is the GCF number.
So the greatest common factor 871,715,725 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 50/871, 440/715, 912/725

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 50/871, 440/715, 912/725?

Answer: LCM of Numerators as per given numbers 50/871, 440/715, 912/725 is

LCM of Numerators i.e. for 50,440,912 is 250800

GCF of denominators i.e. for 871,715,725 is 1.

Thus, LCM of Fractions is 250800.Finally, LCM of Fractions for 50/871, 440/715, 912/725 is 250800.