Least Common Multiple of 35/580, 9261/4700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/580, 9261/4700 quickly i.e. 46305/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/580, 9261/4700 is 46305/20.

LCM(35/580, 9261/4700) = 46305/20

LCM of 35/580, 9261/4700

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 35/580,9261/4700

Given numbers are 35/580,9261/4700

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 35,9261

Least Common Multiple of Numerators i.e. LCM of 35,9261 is 46305.

GCF of Denominators means GCF of 580,4700 as per the given fractions.

GCF of 580,4700 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,9261

LCM of Fractions 35/580,9261/4700 is 46305/20

7 35, 9261
5, 1323

∴ So the LCM of the given numbers is 7 x 5 x 1323 = 46305

Least Common Multiple of 35,9261 with GCF Formula

Least Common Multiple of 35,9261 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 35,9261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,9261) = 7

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

GCF(35,9261) x common factors =7 x 1 = 7

LCM(35,9261) = ( 35 × 9261 ) / 7

LCM(35,9261) = 324135 / 7

LCM(35,9261) = 46305


Lets's calculate GCF of 580,4700

2 580, 4700
2 290, 2350
5 145, 1175
29, 235

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46305/20

Therefore the LCM of Fractions 35/580,9261/4700 is 46305/20

Greatest Common Factor of 580,4700 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,4700 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 4700

List of positive integer factors of 4700 that divides 4700 without a remainder.

1,2,4,5,10,20,25,47,50,94,100,188,235,470,940,1175,2350,4700

Greatest Common Factor

We found the factors 580,4700 . The biggest common factor number is the GCF number.
So the greatest common factor 580,4700 is 20.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 35/580, 9261/4700

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 35/580, 9261/4700?

Answer: LCM of Numerators as per given numbers 35/580, 9261/4700 is

LCM of Numerators i.e. for 35,9261 is 46305

GCF of denominators i.e. for 580,4700 is 20.

Thus, LCM of Fractions is 46305/20.Finally, LCM of Fractions for 35/580, 9261/4700 is 46305/20.