Least Common Multiple of 43/703, 9564/3774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/703, 9564/3774 quickly i.e. 411252/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/703, 9564/3774 is 411252/37.

LCM(43/703, 9564/3774) = 411252/37

LCM of 43/703, 9564/3774

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 43/703,9564/3774

Given numbers are 43/703,9564/3774

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 43,9564

Least Common Multiple of Numerators i.e. LCM of 43,9564 is 411252.

GCF of Denominators means GCF of 703,3774 as per the given fractions.

GCF of 703,3774 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,9564

LCM of Fractions 43/703,9564/3774 is 411252/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 411252

Least Common Multiple of 43,9564 with GCF Formula

Least Common Multiple of 43,9564 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 43,9564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,9564) = 1

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

GCF(43,9564) x common factors =1 x 1 = 1

LCM(43,9564) = ( 43 × 9564 ) / 1

LCM(43,9564) = 411252 / 1

LCM(43,9564) = 411252


Lets's calculate GCF of 703,3774

37 703, 3774
19, 102

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411252/37

Therefore the LCM of Fractions 43/703,9564/3774 is 411252/37

Greatest Common Factor of 703,3774 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,3774 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 3774

List of positive integer factors of 3774 that divides 3774 without a remainder.

1,2,3,6,17,34,37,51,74,102,111,222,629,1258,1887,3774

Greatest Common Factor

We found the factors 703,3774 . The biggest common factor number is the GCF number.
So the greatest common factor 703,3774 is 37.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 43/703, 9564/3774

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 43/703, 9564/3774?

Answer: LCM of Numerators as per given numbers 43/703, 9564/3774 is

LCM of Numerators i.e. for 43,9564 is 411252

GCF of denominators i.e. for 703,3774 is 37.

Thus, LCM of Fractions is 411252/37.Finally, LCM of Fractions for 43/703, 9564/3774 is 411252/37.