Least Common Multiple of 474/43, 221/65, 467/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 474/43, 221/65, 467/99 quickly i.e. 48920118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/43, 221/65, 467/99 is 48920118.

LCM(474/43, 221/65, 467/99) = 48920118

LCM of 474/43, 221/65, 467/99

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 474/43,221/65,467/99

Given numbers are 474/43,221/65,467/99

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 474,221,467

Least Common Multiple of Numerators i.e. LCM of 474,221,467 is 48920118.

GCF of Denominators means GCF of 43,65,99 as per the given fractions.

GCF of 43,65,99 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,221,467

LCM of Fractions 474/43,221/65,467/99 is 48920118

Given numbers has no common factors except 1. So, there LCM is their product i.e 48920118

Least Common Multiple of 474,221,467 with GCF Formula

Least Common Multiple of 474,221,467 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 474,221,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,221,467) = 1

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

GCF(474,221,467) x common factors =1 x 1 = 1

LCM(474,221,467) = ( 474 × 221 × 467 ) / 1

LCM(474,221,467) = 48920118 / 1

LCM(474,221,467) = 48920118


Lets's calculate GCF of 43,65,99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48920118/1

Therefore the LCM of Fractions 474/43,221/65,467/99 is 48920118

Greatest Common Factor of 43,65,99 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,65,99 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Greatest Common Factor

We found the factors 43,65,99 . The biggest common factor number is the GCF number.
So the greatest common factor 43,65,99 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 474/43, 221/65, 467/99

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 474/43, 221/65, 467/99?

Answer: LCM of Numerators as per given numbers 474/43, 221/65, 467/99 is

LCM of Numerators i.e. for 474,221,467 is 48920118

GCF of denominators i.e. for 43,65,99 is 1.

Thus, LCM of Fractions is 48920118.Finally, LCM of Fractions for 474/43, 221/65, 467/99 is 48920118.