Least Common Multiple of 1395/297, 1214/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1395/297, 1214/119 quickly i.e. 1693530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1395/297, 1214/119 is 1693530.

LCM(1395/297, 1214/119) = 1693530

LCM of 1395/297, 1214/119

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 1395/297,1214/119

Given numbers are 1395/297,1214/119

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 1395,1214

Least Common Multiple of Numerators i.e. LCM of 1395,1214 is 1693530.

GCF of Denominators means GCF of 297,119 as per the given fractions.

GCF of 297,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1395,1214

LCM of Fractions 1395/297,1214/119 is 1693530

Given numbers has no common factors except 1. So, there LCM is their product i.e 1693530

Least Common Multiple of 1395,1214 with GCF Formula

Least Common Multiple of 1395,1214 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 1395,1214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1395,1214) = 1

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

GCF(1395,1214) x common factors =1 x 1 = 1

LCM(1395,1214) = ( 1395 × 1214 ) / 1

LCM(1395,1214) = 1693530 / 1

LCM(1395,1214) = 1693530


Lets's calculate GCF of 297,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1693530/1

Therefore the LCM of Fractions 1395/297,1214/119 is 1693530

Greatest Common Factor of 297,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,119 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 119

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

1,7,17,119

Greatest Common Factor

We found the factors 297,119 . The biggest common factor number is the GCF number.
So the greatest common factor 297,119 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 1395/297, 1214/119

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 1395/297, 1214/119?

Answer: LCM of Numerators as per given numbers 1395/297, 1214/119 is

LCM of Numerators i.e. for 1395,1214 is 1693530

GCF of denominators i.e. for 297,119 is 1.

Thus, LCM of Fractions is 1693530.Finally, LCM of Fractions for 1395/297, 1214/119 is 1693530.