Least Common Multiple of 55/544, 76/250, 703/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/544, 76/250, 703/513 quickly i.e. 154660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/544, 76/250, 703/513 is 154660.

LCM(55/544, 76/250, 703/513) = 154660

LCM of 55/544, 76/250, 703/513

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 55/544,76/250,703/513

Given numbers are 55/544,76/250,703/513

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 55,76,703

Least Common Multiple of Numerators i.e. LCM of 55,76,703 is 154660.

GCF of Denominators means GCF of 544,250,513 as per the given fractions.

GCF of 544,250,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,76,703

LCM of Fractions 55/544,76/250,703/513 is 154660

19 55, 76, 703
55, 4, 37

∴ So the LCM of the given numbers is 19 x 55 x 4 x 37 = 154660

Least Common Multiple of 55,76,703 with GCF Formula

Least Common Multiple of 55,76,703 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 55,76,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,76,703) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(55,76,703) x common factors =1 x 19 = 19

LCM(55,76,703) = ( 55 × 76 × 703 ) / 19

LCM(55,76,703) = 2938540 / 19

LCM(55,76,703) = 154660


Lets's calculate GCF of 544,250,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154660/1

Therefore the LCM of Fractions 55/544,76/250,703/513 is 154660

Greatest Common Factor of 544,250,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,250,513 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 544,250,513 . The biggest common factor number is the GCF number.
So the greatest common factor 544,250,513 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 55/544, 76/250, 703/513

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 55/544, 76/250, 703/513?

Answer: LCM of Numerators as per given numbers 55/544, 76/250, 703/513 is

LCM of Numerators i.e. for 55,76,703 is 154660

GCF of denominators i.e. for 544,250,513 is 1.

Thus, LCM of Fractions is 154660.Finally, LCM of Fractions for 55/544, 76/250, 703/513 is 154660.