Least Common Multiple of 119/37, 128/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 119/37, 128/318 quickly i.e. 15232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 119/37, 128/318 is 15232.

LCM(119/37, 128/318) = 15232

LCM of 119/37, 128/318

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 119/37,128/318

Given numbers are 119/37,128/318

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 119,128

Least Common Multiple of Numerators i.e. LCM of 119,128 is 15232.

GCF of Denominators means GCF of 37,318 as per the given fractions.

GCF of 37,318 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 119,128

LCM of Fractions 119/37,128/318 is 15232

Given numbers has no common factors except 1. So, there LCM is their product i.e 15232

Least Common Multiple of 119,128 with GCF Formula

Least Common Multiple of 119,128 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 119,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,128) = 1

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

GCF(119,128) x common factors =1 x 1 = 1

LCM(119,128) = ( 119 × 128 ) / 1

LCM(119,128) = 15232 / 1

LCM(119,128) = 15232


Lets's calculate GCF of 37,318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15232/1

Therefore the LCM of Fractions 119/37,128/318 is 15232

Greatest Common Factor of 37,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,318 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 37,318 . The biggest common factor number is the GCF number.
So the greatest common factor 37,318 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 119/37, 128/318

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 119/37, 128/318?

Answer: LCM of Numerators as per given numbers 119/37, 128/318 is

LCM of Numerators i.e. for 119,128 is 15232

GCF of denominators i.e. for 37,318 is 1.

Thus, LCM of Fractions is 15232.Finally, LCM of Fractions for 119/37, 128/318 is 15232.