Least Common Multiple of 50/105, 71/501, 852/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/105, 71/501, 852/622 quickly i.e. 21300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/105, 71/501, 852/622 is 21300.

LCM(50/105, 71/501, 852/622) = 21300

LCM of 50/105, 71/501, 852/622

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 50/105,71/501,852/622

Given numbers are 50/105,71/501,852/622

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 50,71,852

Least Common Multiple of Numerators i.e. LCM of 50,71,852 is 21300.

GCF of Denominators means GCF of 105,501,622 as per the given fractions.

GCF of 105,501,622 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,71,852

LCM of Fractions 50/105,71/501,852/622 is 21300

2 50, 71, 852
71 25, 71, 426
25, 1, 6

∴ So the LCM of the given numbers is 2 x 71 x 25 x 1 x 6 = 21300

Least Common Multiple of 50,71,852 with GCF Formula

Least Common Multiple of 50,71,852 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 50,71,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,71,852) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(50,71,852) x common factors =1 x 142 = 142

LCM(50,71,852) = ( 50 × 71 × 852 ) / 142

LCM(50,71,852) = 3024600 / 142

LCM(50,71,852) = 21300


Lets's calculate GCF of 105,501,622

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21300/1

Therefore the LCM of Fractions 50/105,71/501,852/622 is 21300

Greatest Common Factor of 105,501,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,501,622 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 105,501,622 . The biggest common factor number is the GCF number.
So the greatest common factor 105,501,622 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 50/105, 71/501, 852/622

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 50/105, 71/501, 852/622?

Answer: LCM of Numerators as per given numbers 50/105, 71/501, 852/622 is

LCM of Numerators i.e. for 50,71,852 is 21300

GCF of denominators i.e. for 105,501,622 is 1.

Thus, LCM of Fractions is 21300.Finally, LCM of Fractions for 50/105, 71/501, 852/622 is 21300.