Least Common Multiple of 851/50, 185/52, 240/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 851/50, 185/52, 240/260 quickly i.e. 102120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 851/50, 185/52, 240/260 is 102120.

LCM(851/50, 185/52, 240/260) = 102120

LCM of 851/50, 185/52, 240/260

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 851/50,185/52,240/260

Given numbers are 851/50,185/52,240/260

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 851,185,240

Least Common Multiple of Numerators i.e. LCM of 851,185,240 is 204240.

GCF of Denominators means GCF of 50,52,260 as per the given fractions.

GCF of 50,52,260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 851,185,240

LCM of Fractions 851/50,185/52,240/260 is 102120

5 851, 185, 240
37 851, 37, 48
23, 1, 48

∴ So the LCM of the given numbers is 5 x 37 x 23 x 1 x 48 = 204240

Least Common Multiple of 851,185,240 with GCF Formula

Least Common Multiple of 851,185,240 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 851,185,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,185,240) = 1

common factors(in case of two or more numbers have common factors) = 185

GCF(851,185,240) x common factors =1 x 185 = 185

LCM(851,185,240) = ( 851 × 185 × 240 ) / 185

LCM(851,185,240) = 37784400 / 185

LCM(851,185,240) = 204240


Lets's calculate GCF of 50,52,260

2 50, 52, 260
25, 26, 130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204240/2

Therefore the LCM of Fractions 851/50,185/52,240/260 is 102120

Greatest Common Factor of 50,52,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,52,260 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 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 50,52,260 . The biggest common factor number is the GCF number.
So the greatest common factor 50,52,260 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 851/50, 185/52, 240/260

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 851/50, 185/52, 240/260?

Answer: LCM of Numerators as per given numbers 851/50, 185/52, 240/260 is

LCM of Numerators i.e. for 851,185,240 is 204240

GCF of denominators i.e. for 50,52,260 is 2.

Thus, LCM of Fractions is 102120.Finally, LCM of Fractions for 851/50, 185/52, 240/260 is 102120.