Least Common Multiple of 1184/358, 4347/7278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1184/358, 4347/7278 quickly i.e. 2573424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1184/358, 4347/7278 is 2573424.

LCM(1184/358, 4347/7278) = 2573424

LCM of 1184/358, 4347/7278

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 1184/358,4347/7278

Given numbers are 1184/358,4347/7278

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 1184,4347

Least Common Multiple of Numerators i.e. LCM of 1184,4347 is 5146848.

GCF of Denominators means GCF of 358,7278 as per the given fractions.

GCF of 358,7278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1184,4347

LCM of Fractions 1184/358,4347/7278 is 2573424

Given numbers has no common factors except 1. So, there LCM is their product i.e 5146848

Least Common Multiple of 1184,4347 with GCF Formula

Least Common Multiple of 1184,4347 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 1184,4347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1184,4347) = 1

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

GCF(1184,4347) x common factors =1 x 1 = 1

LCM(1184,4347) = ( 1184 × 4347 ) / 1

LCM(1184,4347) = 5146848 / 1

LCM(1184,4347) = 5146848


Lets's calculate GCF of 358,7278

2 358, 7278
179, 3639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5146848/2

Therefore the LCM of Fractions 1184/358,4347/7278 is 2573424

Greatest Common Factor of 358,7278 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,7278 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 7278

List of positive integer factors of 7278 that divides 7278 without a remainder.

1,2,3,6,1213,2426,3639,7278

Greatest Common Factor

We found the factors 358,7278 . The biggest common factor number is the GCF number.
So the greatest common factor 358,7278 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1184/358, 4347/7278

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 1184/358, 4347/7278?

Answer: LCM of Numerators as per given numbers 1184/358, 4347/7278 is

LCM of Numerators i.e. for 1184,4347 is 5146848

GCF of denominators i.e. for 358,7278 is 2.

Thus, LCM of Fractions is 2573424.Finally, LCM of Fractions for 1184/358, 4347/7278 is 2573424.