Least Common Multiple of 730/595, 532/608, 980/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/595, 532/608, 980/652 quickly i.e. 1359260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/595, 532/608, 980/652 is 1359260.

LCM(730/595, 532/608, 980/652) = 1359260

LCM of 730/595, 532/608, 980/652

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 730/595,532/608,980/652

Given numbers are 730/595,532/608,980/652

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 730,532,980

Least Common Multiple of Numerators i.e. LCM of 730,532,980 is 1359260.

GCF of Denominators means GCF of 595,608,652 as per the given fractions.

GCF of 595,608,652 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,532,980

LCM of Fractions 730/595,532/608,980/652 is 1359260

2 730, 532, 980
2 365, 266, 490
5 365, 133, 245
7 73, 133, 49
73, 19, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 73 x 19 x 7 = 1359260

Least Common Multiple of 730,532,980 with GCF Formula

Least Common Multiple of 730,532,980 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 730,532,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,532,980) = 2

common factors(in case of two or more numbers have common factors) = 140

GCF(730,532,980) x common factors =2 x 140 = 280

LCM(730,532,980) = ( 730 × 532 × 980 ) / 280

LCM(730,532,980) = 380592800 / 280

LCM(730,532,980) = 1359260


Lets's calculate GCF of 595,608,652

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1359260/1

Therefore the LCM of Fractions 730/595,532/608,980/652 is 1359260

Greatest Common Factor of 595,608,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,608,652 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 595,608,652 . The biggest common factor number is the GCF number.
So the greatest common factor 595,608,652 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 730/595, 532/608, 980/652

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 730/595, 532/608, 980/652?

Answer: LCM of Numerators as per given numbers 730/595, 532/608, 980/652 is

LCM of Numerators i.e. for 730,532,980 is 1359260

GCF of denominators i.e. for 595,608,652 is 1.

Thus, LCM of Fractions is 1359260.Finally, LCM of Fractions for 730/595, 532/608, 980/652 is 1359260.