Least Common Multiple of 255/590, 3880/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 255/590, 3880/366 quickly i.e. 98940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 255/590, 3880/366 is 98940.

LCM(255/590, 3880/366) = 98940

LCM of 255/590, 3880/366

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 255/590,3880/366

Given numbers are 255/590,3880/366

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 255,3880

Least Common Multiple of Numerators i.e. LCM of 255,3880 is 197880.

GCF of Denominators means GCF of 590,366 as per the given fractions.

GCF of 590,366 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 255,3880

LCM of Fractions 255/590,3880/366 is 98940

5 255, 3880
51, 776

∴ So the LCM of the given numbers is 5 x 51 x 776 = 197880

Least Common Multiple of 255,3880 with GCF Formula

Least Common Multiple of 255,3880 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 255,3880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,3880) = 5

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

GCF(255,3880) x common factors =5 x 1 = 5

LCM(255,3880) = ( 255 × 3880 ) / 5

LCM(255,3880) = 989400 / 5

LCM(255,3880) = 197880


Lets's calculate GCF of 590,366

2 590, 366
295, 183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197880/2

Therefore the LCM of Fractions 255/590,3880/366 is 98940

Greatest Common Factor of 590,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,366 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 590,366 . The biggest common factor number is the GCF number.
So the greatest common factor 590,366 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 255/590, 3880/366

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 255/590, 3880/366?

Answer: LCM of Numerators as per given numbers 255/590, 3880/366 is

LCM of Numerators i.e. for 255,3880 is 197880

GCF of denominators i.e. for 590,366 is 2.

Thus, LCM of Fractions is 98940.Finally, LCM of Fractions for 255/590, 3880/366 is 98940.