Least Common Multiple of 55/400, 38/126, 260/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/400, 38/126, 260/289 quickly i.e. 54340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/400, 38/126, 260/289 is 54340.

LCM(55/400, 38/126, 260/289) = 54340

LCM of 55/400, 38/126, 260/289

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 55/400,38/126,260/289

Given numbers are 55/400,38/126,260/289

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 55,38,260

Least Common Multiple of Numerators i.e. LCM of 55,38,260 is 54340.

GCF of Denominators means GCF of 400,126,289 as per the given fractions.

GCF of 400,126,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,38,260

LCM of Fractions 55/400,38/126,260/289 is 54340

2 55, 38, 260
5 55, 19, 130
11, 19, 26

∴ So the LCM of the given numbers is 2 x 5 x 11 x 19 x 26 = 54340

Least Common Multiple of 55,38,260 with GCF Formula

Least Common Multiple of 55,38,260 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 55,38,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,38,260) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(55,38,260) x common factors =1 x 10 = 10

LCM(55,38,260) = ( 55 × 38 × 260 ) / 10

LCM(55,38,260) = 543400 / 10

LCM(55,38,260) = 54340


Lets's calculate GCF of 400,126,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54340/1

Therefore the LCM of Fractions 55/400,38/126,260/289 is 54340

Greatest Common Factor of 400,126,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,126,289 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 400,126,289 . The biggest common factor number is the GCF number.
So the greatest common factor 400,126,289 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 55/400, 38/126, 260/289

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 55/400, 38/126, 260/289?

Answer: LCM of Numerators as per given numbers 55/400, 38/126, 260/289 is

LCM of Numerators i.e. for 55,38,260 is 54340

GCF of denominators i.e. for 400,126,289 is 1.

Thus, LCM of Fractions is 54340.Finally, LCM of Fractions for 55/400, 38/126, 260/289 is 54340.