Least Common Multiple of 55/735, 531/500, 586/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/735, 531/500, 586/620 quickly i.e. 3422826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/735, 531/500, 586/620 is 3422826.

LCM(55/735, 531/500, 586/620) = 3422826

LCM of 55/735, 531/500, 586/620

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 55/735,531/500,586/620

Given numbers are 55/735,531/500,586/620

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 55,531,586

Least Common Multiple of Numerators i.e. LCM of 55,531,586 is 17114130.

GCF of Denominators means GCF of 735,500,620 as per the given fractions.

GCF of 735,500,620 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,531,586

LCM of Fractions 55/735,531/500,586/620 is 3422826

Given numbers has no common factors except 1. So, there LCM is their product i.e 17114130

Least Common Multiple of 55,531,586 with GCF Formula

Least Common Multiple of 55,531,586 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 55,531,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,531,586) = 1

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

GCF(55,531,586) x common factors =1 x 1 = 1

LCM(55,531,586) = ( 55 × 531 × 586 ) / 1

LCM(55,531,586) = 17114130 / 1

LCM(55,531,586) = 17114130


Lets's calculate GCF of 735,500,620

5 735, 500, 620
147, 100, 124

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17114130/5

Therefore the LCM of Fractions 55/735,531/500,586/620 is 3422826

Greatest Common Factor of 735,500,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,500,620 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 735,500,620 . The biggest common factor number is the GCF number.
So the greatest common factor 735,500,620 is 5.


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 55/735, 531/500, 586/620

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 55/735, 531/500, 586/620?

Answer: LCM of Numerators as per given numbers 55/735, 531/500, 586/620 is

LCM of Numerators i.e. for 55,531,586 is 17114130

GCF of denominators i.e. for 735,500,620 is 5.

Thus, LCM of Fractions is 3422826.Finally, LCM of Fractions for 55/735, 531/500, 586/620 is 3422826.