Least Common Multiple of 307/444, 5442/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 307/444, 5442/703 quickly i.e. 1670694/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/444, 5442/703 is 1670694/37.

LCM(307/444, 5442/703) = 1670694/37

LCM of 307/444, 5442/703

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 307/444,5442/703

Given numbers are 307/444,5442/703

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 307,5442

Least Common Multiple of Numerators i.e. LCM of 307,5442 is 1670694.

GCF of Denominators means GCF of 444,703 as per the given fractions.

GCF of 444,703 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,5442

LCM of Fractions 307/444,5442/703 is 1670694/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 1670694

Least Common Multiple of 307,5442 with GCF Formula

Least Common Multiple of 307,5442 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 307,5442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,5442) = 1

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

GCF(307,5442) x common factors =1 x 1 = 1

LCM(307,5442) = ( 307 × 5442 ) / 1

LCM(307,5442) = 1670694 / 1

LCM(307,5442) = 1670694


Lets's calculate GCF of 444,703

37 444, 703
12, 19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1670694/37

Therefore the LCM of Fractions 307/444,5442/703 is 1670694/37

Greatest Common Factor of 444,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,703 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 703

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

1,19,37,703

Greatest Common Factor

We found the factors 444,703 . The biggest common factor number is the GCF number.
So the greatest common factor 444,703 is 37.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 307/444, 5442/703

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 307/444, 5442/703?

Answer: LCM of Numerators as per given numbers 307/444, 5442/703 is

LCM of Numerators i.e. for 307,5442 is 1670694

GCF of denominators i.e. for 444,703 is 37.

Thus, LCM of Fractions is 1670694/37.Finally, LCM of Fractions for 307/444, 5442/703 is 1670694/37.