Least Common Multiple of 2/50, 25/680, 73/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2/50, 25/680, 73/360 quickly i.e. 365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/50, 25/680, 73/360 is 365.

LCM(2/50, 25/680, 73/360) = 365

LCM of 2/50, 25/680, 73/360

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 2/50,25/680,73/360

Given numbers are 2/50,25/680,73/360

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 2,25,73

Least Common Multiple of Numerators i.e. LCM of 2,25,73 is 3650.

GCF of Denominators means GCF of 50,680,360 as per the given fractions.

GCF of 50,680,360 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,25,73

LCM of Fractions 2/50,25/680,73/360 is 365

Given numbers has no common factors except 1. So, there LCM is their product i.e 3650

Least Common Multiple of 2,25,73 with GCF Formula

Least Common Multiple of 2,25,73 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 2,25,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,25,73) = 1

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

GCF(2,25,73) x common factors =1 x 1 = 1

LCM(2,25,73) = ( 2 × 25 × 73 ) / 1

LCM(2,25,73) = 3650 / 1

LCM(2,25,73) = 3650


Lets's calculate GCF of 50,680,360

2 50, 680, 360
5 25, 340, 180
5, 68, 36

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3650/10

Therefore the LCM of Fractions 2/50,25/680,73/360 is 365

Greatest Common Factor of 50,680,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,680,360 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 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 50,680,360 . The biggest common factor number is the GCF number.
So the greatest common factor 50,680,360 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2/50, 25/680, 73/360

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 2/50, 25/680, 73/360?

Answer: LCM of Numerators as per given numbers 2/50, 25/680, 73/360 is

LCM of Numerators i.e. for 2,25,73 is 3650

GCF of denominators i.e. for 50,680,360 is 10.

Thus, LCM of Fractions is 365.Finally, LCM of Fractions for 2/50, 25/680, 73/360 is 365.