Least Common Multiple of 436/228, 1494/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 436/228, 1494/954 quickly i.e. 54282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 436/228, 1494/954 is 54282.

LCM(436/228, 1494/954) = 54282

LCM of 436/228, 1494/954

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 436/228,1494/954

Given numbers are 436/228,1494/954

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 436,1494

Least Common Multiple of Numerators i.e. LCM of 436,1494 is 325692.

GCF of Denominators means GCF of 228,954 as per the given fractions.

GCF of 228,954 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 436,1494

LCM of Fractions 436/228,1494/954 is 54282

2 436, 1494
218, 747

∴ So the LCM of the given numbers is 2 x 218 x 747 = 325692

Least Common Multiple of 436,1494 with GCF Formula

Least Common Multiple of 436,1494 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 436,1494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,1494) = 2

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

GCF(436,1494) x common factors =2 x 1 = 2

LCM(436,1494) = ( 436 × 1494 ) / 2

LCM(436,1494) = 651384 / 2

LCM(436,1494) = 325692


Lets's calculate GCF of 228,954

2 228, 954
3 114, 477
38, 159

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325692/6

Therefore the LCM of Fractions 436/228,1494/954 is 54282

Greatest Common Factor of 228,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,954 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 228,954 . The biggest common factor number is the GCF number.
So the greatest common factor 228,954 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 436/228, 1494/954

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 436/228, 1494/954?

Answer: LCM of Numerators as per given numbers 436/228, 1494/954 is

LCM of Numerators i.e. for 436,1494 is 325692

GCF of denominators i.e. for 228,954 is 6.

Thus, LCM of Fractions is 54282.Finally, LCM of Fractions for 436/228, 1494/954 is 54282.