Least Common Multiple of 7360/386, 2619/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7360/386, 2619/234 quickly i.e. 9637920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7360/386, 2619/234 is 9637920.

LCM(7360/386, 2619/234) = 9637920

LCM of 7360/386, 2619/234

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 7360/386,2619/234

Given numbers are 7360/386,2619/234

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 7360,2619

Least Common Multiple of Numerators i.e. LCM of 7360,2619 is 19275840.

GCF of Denominators means GCF of 386,234 as per the given fractions.

GCF of 386,234 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7360,2619

LCM of Fractions 7360/386,2619/234 is 9637920

Given numbers has no common factors except 1. So, there LCM is their product i.e 19275840

Least Common Multiple of 7360,2619 with GCF Formula

Least Common Multiple of 7360,2619 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 7360,2619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7360,2619) = 1

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

GCF(7360,2619) x common factors =1 x 1 = 1

LCM(7360,2619) = ( 7360 × 2619 ) / 1

LCM(7360,2619) = 19275840 / 1

LCM(7360,2619) = 19275840


Lets's calculate GCF of 386,234

2 386, 234
193, 117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19275840/2

Therefore the LCM of Fractions 7360/386,2619/234 is 9637920

Greatest Common Factor of 386,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,234 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 386,234 . The biggest common factor number is the GCF number.
So the greatest common factor 386,234 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7360/386, 2619/234

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 7360/386, 2619/234?

Answer: LCM of Numerators as per given numbers 7360/386, 2619/234 is

LCM of Numerators i.e. for 7360,2619 is 19275840

GCF of denominators i.e. for 386,234 is 2.

Thus, LCM of Fractions is 9637920.Finally, LCM of Fractions for 7360/386, 2619/234 is 9637920.