Least Common Multiple of 334/78, 181/74, 311/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/78, 181/74, 311/130 quickly i.e. 9400597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/78, 181/74, 311/130 is 9400597.

LCM(334/78, 181/74, 311/130) = 9400597

LCM of 334/78, 181/74, 311/130

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 334/78,181/74,311/130

Given numbers are 334/78,181/74,311/130

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 334,181,311

Least Common Multiple of Numerators i.e. LCM of 334,181,311 is 18801194.

GCF of Denominators means GCF of 78,74,130 as per the given fractions.

GCF of 78,74,130 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,181,311

LCM of Fractions 334/78,181/74,311/130 is 9400597

Given numbers has no common factors except 1. So, there LCM is their product i.e 18801194

Least Common Multiple of 334,181,311 with GCF Formula

Least Common Multiple of 334,181,311 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 334,181,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,181,311) = 1

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

GCF(334,181,311) x common factors =1 x 1 = 1

LCM(334,181,311) = ( 334 × 181 × 311 ) / 1

LCM(334,181,311) = 18801194 / 1

LCM(334,181,311) = 18801194


Lets's calculate GCF of 78,74,130

2 78, 74, 130
39, 37, 65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18801194/2

Therefore the LCM of Fractions 334/78,181/74,311/130 is 9400597

Greatest Common Factor of 78,74,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,74,130 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 78,74,130 . The biggest common factor number is the GCF number.
So the greatest common factor 78,74,130 is 2.


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 334/78, 181/74, 311/130

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 334/78, 181/74, 311/130?

Answer: LCM of Numerators as per given numbers 334/78, 181/74, 311/130 is

LCM of Numerators i.e. for 334,181,311 is 18801194

GCF of denominators i.e. for 78,74,130 is 2.

Thus, LCM of Fractions is 9400597.Finally, LCM of Fractions for 334/78, 181/74, 311/130 is 9400597.