Least Common Multiple of 474/29, 511/37, 436/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 474/29, 511/37, 436/965 quickly i.e. 52802652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/29, 511/37, 436/965 is 52802652.

LCM(474/29, 511/37, 436/965) = 52802652

LCM of 474/29, 511/37, 436/965

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 474/29,511/37,436/965

Given numbers are 474/29,511/37,436/965

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 474,511,436

Least Common Multiple of Numerators i.e. LCM of 474,511,436 is 52802652.

GCF of Denominators means GCF of 29,37,965 as per the given fractions.

GCF of 29,37,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,511,436

LCM of Fractions 474/29,511/37,436/965 is 52802652

2 474, 511, 436
237, 511, 218

∴ So the LCM of the given numbers is 2 x 237 x 511 x 218 = 52802652

Least Common Multiple of 474,511,436 with GCF Formula

Least Common Multiple of 474,511,436 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 474,511,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,511,436) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(474,511,436) x common factors =1 x 2 = 2

LCM(474,511,436) = ( 474 × 511 × 436 ) / 2

LCM(474,511,436) = 105605304 / 2

LCM(474,511,436) = 52802652


Lets's calculate GCF of 29,37,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52802652/1

Therefore the LCM of Fractions 474/29,511/37,436/965 is 52802652

Greatest Common Factor of 29,37,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,37,965 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 29,37,965 . The biggest common factor number is the GCF number.
So the greatest common factor 29,37,965 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 474/29, 511/37, 436/965

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 474/29, 511/37, 436/965?

Answer: LCM of Numerators as per given numbers 474/29, 511/37, 436/965 is

LCM of Numerators i.e. for 474,511,436 is 52802652

GCF of denominators i.e. for 29,37,965 is 1.

Thus, LCM of Fractions is 52802652.Finally, LCM of Fractions for 474/29, 511/37, 436/965 is 52802652.