Least Common Multiple of 942/283, 4614/1484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 942/283, 4614/1484 quickly i.e. 724398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 942/283, 4614/1484 is 724398.

LCM(942/283, 4614/1484) = 724398

LCM of 942/283, 4614/1484

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 942/283,4614/1484

Given numbers are 942/283,4614/1484

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 942,4614

Least Common Multiple of Numerators i.e. LCM of 942,4614 is 724398.

GCF of Denominators means GCF of 283,1484 as per the given fractions.

GCF of 283,1484 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 942,4614

LCM of Fractions 942/283,4614/1484 is 724398

2 942, 4614
3 471, 2307
157, 769

∴ So the LCM of the given numbers is 2 x 3 x 157 x 769 = 724398

Least Common Multiple of 942,4614 with GCF Formula

Least Common Multiple of 942,4614 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 942,4614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,4614) = 6

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

GCF(942,4614) x common factors =6 x 1 = 6

LCM(942,4614) = ( 942 × 4614 ) / 6

LCM(942,4614) = 4346388 / 6

LCM(942,4614) = 724398


Lets's calculate GCF of 283,1484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 724398/1

Therefore the LCM of Fractions 942/283,4614/1484 is 724398

Greatest Common Factor of 283,1484 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,1484 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 1484

List of positive integer factors of 1484 that divides 1484 without a remainder.

1,2,4,7,14,28,53,106,212,371,742,1484

Greatest Common Factor

We found the factors 283,1484 . The biggest common factor number is the GCF number.
So the greatest common factor 283,1484 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 942/283, 4614/1484

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 942/283, 4614/1484?

Answer: LCM of Numerators as per given numbers 942/283, 4614/1484 is

LCM of Numerators i.e. for 942,4614 is 724398

GCF of denominators i.e. for 283,1484 is 1.

Thus, LCM of Fractions is 724398.Finally, LCM of Fractions for 942/283, 4614/1484 is 724398.