Least Common Multiple of 10/254, 43/275, 115/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/254, 43/275, 115/240 quickly i.e. 9890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/254, 43/275, 115/240 is 9890.

LCM(10/254, 43/275, 115/240) = 9890

LCM of 10/254, 43/275, 115/240

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 10/254,43/275,115/240

Given numbers are 10/254,43/275,115/240

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 10,43,115

Least Common Multiple of Numerators i.e. LCM of 10,43,115 is 9890.

GCF of Denominators means GCF of 254,275,240 as per the given fractions.

GCF of 254,275,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,43,115

LCM of Fractions 10/254,43/275,115/240 is 9890

5 10, 43, 115
2, 43, 23

∴ So the LCM of the given numbers is 5 x 2 x 43 x 23 = 9890

Least Common Multiple of 10,43,115 with GCF Formula

Least Common Multiple of 10,43,115 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 10,43,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,43,115) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(10,43,115) x common factors =1 x 5 = 5

LCM(10,43,115) = ( 10 × 43 × 115 ) / 5

LCM(10,43,115) = 49450 / 5

LCM(10,43,115) = 9890


Lets's calculate GCF of 254,275,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9890/1

Therefore the LCM of Fractions 10/254,43/275,115/240 is 9890

Greatest Common Factor of 254,275,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,275,240 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 254,275,240 . The biggest common factor number is the GCF number.
So the greatest common factor 254,275,240 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/254, 43/275, 115/240

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 10/254, 43/275, 115/240?

Answer: LCM of Numerators as per given numbers 10/254, 43/275, 115/240 is

LCM of Numerators i.e. for 10,43,115 is 9890

GCF of denominators i.e. for 254,275,240 is 1.

Thus, LCM of Fractions is 9890.Finally, LCM of Fractions for 10/254, 43/275, 115/240 is 9890.