Least Common Multiple of 73/119, 4178/9360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/119, 4178/9360 quickly i.e. 304994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/119, 4178/9360 is 304994.

LCM(73/119, 4178/9360) = 304994

LCM of 73/119, 4178/9360

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 73/119,4178/9360

Given numbers are 73/119,4178/9360

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 73,4178

Least Common Multiple of Numerators i.e. LCM of 73,4178 is 304994.

GCF of Denominators means GCF of 119,9360 as per the given fractions.

GCF of 119,9360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,4178

LCM of Fractions 73/119,4178/9360 is 304994

Given numbers has no common factors except 1. So, there LCM is their product i.e 304994

Least Common Multiple of 73,4178 with GCF Formula

Least Common Multiple of 73,4178 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 73,4178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,4178) = 1

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

GCF(73,4178) x common factors =1 x 1 = 1

LCM(73,4178) = ( 73 × 4178 ) / 1

LCM(73,4178) = 304994 / 1

LCM(73,4178) = 304994


Lets's calculate GCF of 119,9360

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304994/1

Therefore the LCM of Fractions 73/119,4178/9360 is 304994

Greatest Common Factor of 119,9360 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,9360 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 9360

List of positive integer factors of 9360 that divides 9360 without a remainder.

1,2,3,4,5,6,8,9,10,12,13,15,16,18,20,24,26,30,36,39,40,45,48,52,60,65,72,78,80,90,104,117,120,130,144,156,180,195,208,234,240,260,312,360,390,468,520,585,624,720,780,936,1040,1170,1560,1872,2340,3120,4680,9360

Greatest Common Factor

We found the factors 119,9360 . The biggest common factor number is the GCF number.
So the greatest common factor 119,9360 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 73/119, 4178/9360

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 73/119, 4178/9360?

Answer: LCM of Numerators as per given numbers 73/119, 4178/9360 is

LCM of Numerators i.e. for 73,4178 is 304994

GCF of denominators i.e. for 119,9360 is 1.

Thus, LCM of Fractions is 304994.Finally, LCM of Fractions for 73/119, 4178/9360 is 304994.