Least Common Multiple of 187/50, 728/1022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 187/50, 728/1022 quickly i.e. 68068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/50, 728/1022 is 68068.

LCM(187/50, 728/1022) = 68068

LCM of 187/50, 728/1022

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 187/50,728/1022

Given numbers are 187/50,728/1022

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 187,728

Least Common Multiple of Numerators i.e. LCM of 187,728 is 136136.

GCF of Denominators means GCF of 50,1022 as per the given fractions.

GCF of 50,1022 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,728

LCM of Fractions 187/50,728/1022 is 68068

Given numbers has no common factors except 1. So, there LCM is their product i.e 136136

Least Common Multiple of 187,728 with GCF Formula

Least Common Multiple of 187,728 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 187,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,728) = 1

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

GCF(187,728) x common factors =1 x 1 = 1

LCM(187,728) = ( 187 × 728 ) / 1

LCM(187,728) = 136136 / 1

LCM(187,728) = 136136


Lets's calculate GCF of 50,1022

2 50, 1022
25, 511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136136/2

Therefore the LCM of Fractions 187/50,728/1022 is 68068

Greatest Common Factor of 50,1022 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,1022 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 1022

List of positive integer factors of 1022 that divides 1022 without a remainder.

1,2,7,14,73,146,511,1022

Greatest Common Factor

We found the factors 50,1022 . The biggest common factor number is the GCF number.
So the greatest common factor 50,1022 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 187/50, 728/1022

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 187/50, 728/1022?

Answer: LCM of Numerators as per given numbers 187/50, 728/1022 is

LCM of Numerators i.e. for 187,728 is 136136

GCF of denominators i.e. for 50,1022 is 2.

Thus, LCM of Fractions is 68068.Finally, LCM of Fractions for 187/50, 728/1022 is 68068.