Least Common Multiple of 1194/364, 3943/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1194/364, 3943/722 quickly i.e. 2353971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1194/364, 3943/722 is 2353971.

LCM(1194/364, 3943/722) = 2353971

LCM of 1194/364, 3943/722

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 1194/364,3943/722

Given numbers are 1194/364,3943/722

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 1194,3943

Least Common Multiple of Numerators i.e. LCM of 1194,3943 is 4707942.

GCF of Denominators means GCF of 364,722 as per the given fractions.

GCF of 364,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1194,3943

LCM of Fractions 1194/364,3943/722 is 2353971

Given numbers has no common factors except 1. So, there LCM is their product i.e 4707942

Least Common Multiple of 1194,3943 with GCF Formula

Least Common Multiple of 1194,3943 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 1194,3943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1194,3943) = 1

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

GCF(1194,3943) x common factors =1 x 1 = 1

LCM(1194,3943) = ( 1194 × 3943 ) / 1

LCM(1194,3943) = 4707942 / 1

LCM(1194,3943) = 4707942


Lets's calculate GCF of 364,722

2 364, 722
182, 361

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4707942/2

Therefore the LCM of Fractions 1194/364,3943/722 is 2353971

Greatest Common Factor of 364,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,722 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 364,722 . The biggest common factor number is the GCF number.
So the greatest common factor 364,722 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1194/364, 3943/722

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 1194/364, 3943/722?

Answer: LCM of Numerators as per given numbers 1194/364, 3943/722 is

LCM of Numerators i.e. for 1194,3943 is 4707942

GCF of denominators i.e. for 364,722 is 2.

Thus, LCM of Fractions is 2353971.Finally, LCM of Fractions for 1194/364, 3943/722 is 2353971.