Least Common Multiple of 141/580, 7325/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 141/580, 7325/294 quickly i.e. 1032825/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 141/580, 7325/294 is 1032825/2.

LCM(141/580, 7325/294) = 1032825/2

LCM of 141/580, 7325/294

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 141/580,7325/294

Given numbers are 141/580,7325/294

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 141,7325

Least Common Multiple of Numerators i.e. LCM of 141,7325 is 1032825.

GCF of Denominators means GCF of 580,294 as per the given fractions.

GCF of 580,294 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 141,7325

LCM of Fractions 141/580,7325/294 is 1032825/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1032825

Least Common Multiple of 141,7325 with GCF Formula

Least Common Multiple of 141,7325 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 141,7325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,7325) = 1

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

GCF(141,7325) x common factors =1 x 1 = 1

LCM(141,7325) = ( 141 × 7325 ) / 1

LCM(141,7325) = 1032825 / 1

LCM(141,7325) = 1032825


Lets's calculate GCF of 580,294

2 580, 294
290, 147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1032825/2

Therefore the LCM of Fractions 141/580,7325/294 is 1032825/2

Greatest Common Factor of 580,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,294 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 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 580,294 . The biggest common factor number is the GCF number.
So the greatest common factor 580,294 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 141/580, 7325/294

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 141/580, 7325/294?

Answer: LCM of Numerators as per given numbers 141/580, 7325/294 is

LCM of Numerators i.e. for 141,7325 is 1032825

GCF of denominators i.e. for 580,294 is 2.

Thus, LCM of Fractions is 1032825/2.Finally, LCM of Fractions for 141/580, 7325/294 is 1032825/2.