Least Common Multiple of 595/732, 5096/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 595/732, 5096/106 quickly i.e. 216580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 595/732, 5096/106 is 216580.

LCM(595/732, 5096/106) = 216580

LCM of 595/732, 5096/106

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 595/732,5096/106

Given numbers are 595/732,5096/106

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 595,5096

Least Common Multiple of Numerators i.e. LCM of 595,5096 is 433160.

GCF of Denominators means GCF of 732,106 as per the given fractions.

GCF of 732,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 595,5096

LCM of Fractions 595/732,5096/106 is 216580

7 595, 5096
85, 728

∴ So the LCM of the given numbers is 7 x 85 x 728 = 433160

Least Common Multiple of 595,5096 with GCF Formula

Least Common Multiple of 595,5096 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 595,5096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,5096) = 7

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

GCF(595,5096) x common factors =7 x 1 = 7

LCM(595,5096) = ( 595 × 5096 ) / 7

LCM(595,5096) = 3032120 / 7

LCM(595,5096) = 433160


Lets's calculate GCF of 732,106

2 732, 106
366, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 433160/2

Therefore the LCM of Fractions 595/732,5096/106 is 216580

Greatest Common Factor of 732,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,106 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 732,106 . The biggest common factor number is the GCF number.
So the greatest common factor 732,106 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 595/732, 5096/106

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 595/732, 5096/106?

Answer: LCM of Numerators as per given numbers 595/732, 5096/106 is

LCM of Numerators i.e. for 595,5096 is 433160

GCF of denominators i.e. for 732,106 is 2.

Thus, LCM of Fractions is 216580.Finally, LCM of Fractions for 595/732, 5096/106 is 216580.