Least Common Multiple of 474/103, 3734/1787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 474/103, 3734/1787 quickly i.e. 884958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/103, 3734/1787 is 884958.

LCM(474/103, 3734/1787) = 884958

LCM of 474/103, 3734/1787

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 474/103,3734/1787

Given numbers are 474/103,3734/1787

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 474,3734

Least Common Multiple of Numerators i.e. LCM of 474,3734 is 884958.

GCF of Denominators means GCF of 103,1787 as per the given fractions.

GCF of 103,1787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,3734

LCM of Fractions 474/103,3734/1787 is 884958

2 474, 3734
237, 1867

∴ So the LCM of the given numbers is 2 x 237 x 1867 = 884958

Least Common Multiple of 474,3734 with GCF Formula

Least Common Multiple of 474,3734 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 474,3734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,3734) = 2

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

GCF(474,3734) x common factors =2 x 1 = 2

LCM(474,3734) = ( 474 × 3734 ) / 2

LCM(474,3734) = 1769916 / 2

LCM(474,3734) = 884958


Lets's calculate GCF of 103,1787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 884958/1

Therefore the LCM of Fractions 474/103,3734/1787 is 884958

Greatest Common Factor of 103,1787 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,1787 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 1787

List of positive integer factors of 1787 that divides 1787 without a remainder.

1,1787

Greatest Common Factor

We found the factors 103,1787 . The biggest common factor number is the GCF number.
So the greatest common factor 103,1787 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 474/103, 3734/1787

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 474/103, 3734/1787?

Answer: LCM of Numerators as per given numbers 474/103, 3734/1787 is

LCM of Numerators i.e. for 474,3734 is 884958

GCF of denominators i.e. for 103,1787 is 1.

Thus, LCM of Fractions is 884958.Finally, LCM of Fractions for 474/103, 3734/1787 is 884958.