Least Common Multiple of 474/61, 487/1525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 474/61, 487/1525 quickly i.e. 230838/61 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/61, 487/1525 is 230838/61.

LCM(474/61, 487/1525) = 230838/61

LCM of 474/61, 487/1525

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 474/61,487/1525

Given numbers are 474/61,487/1525

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 474,487

Least Common Multiple of Numerators i.e. LCM of 474,487 is 230838.

GCF of Denominators means GCF of 61,1525 as per the given fractions.

GCF of 61,1525 is 61 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,487

LCM of Fractions 474/61,487/1525 is 230838/61

Given numbers has no common factors except 1. So, there LCM is their product i.e 230838

Least Common Multiple of 474,487 with GCF Formula

Least Common Multiple of 474,487 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 474,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,487) = 1

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

GCF(474,487) x common factors =1 x 1 = 1

LCM(474,487) = ( 474 × 487 ) / 1

LCM(474,487) = 230838 / 1

LCM(474,487) = 230838


Lets's calculate GCF of 61,1525

61 61, 1525
1, 25

∴ So the GCF of the given numbers is 61 = 61

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230838/61

Therefore the LCM of Fractions 474/61,487/1525 is 230838/61

Greatest Common Factor of 61,1525 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,1525 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 1525

List of positive integer factors of 1525 that divides 1525 without a remainder.

1,5,25,61,305,1525

Greatest Common Factor

We found the factors 61,1525 . The biggest common factor number is the GCF number.
So the greatest common factor 61,1525 is 61.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 474/61, 487/1525

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 474/61, 487/1525?

Answer: LCM of Numerators as per given numbers 474/61, 487/1525 is

LCM of Numerators i.e. for 474,487 is 230838

GCF of denominators i.e. for 61,1525 is 61.

Thus, LCM of Fractions is 230838/61.Finally, LCM of Fractions for 474/61, 487/1525 is 230838/61.