Least Common Multiple of 121/347, 1419/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 121/347, 1419/248 quickly i.e. 15609 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 121/347, 1419/248 is 15609.

LCM(121/347, 1419/248) = 15609

LCM of 121/347, 1419/248

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 121/347,1419/248

Given numbers are 121/347,1419/248

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 121,1419

Least Common Multiple of Numerators i.e. LCM of 121,1419 is 15609.

GCF of Denominators means GCF of 347,248 as per the given fractions.

GCF of 347,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 121,1419

LCM of Fractions 121/347,1419/248 is 15609

11 121, 1419
11, 129

∴ So the LCM of the given numbers is 11 x 11 x 129 = 15609

Least Common Multiple of 121,1419 with GCF Formula

Least Common Multiple of 121,1419 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 121,1419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,1419) = 11

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

GCF(121,1419) x common factors =11 x 1 = 11

LCM(121,1419) = ( 121 × 1419 ) / 11

LCM(121,1419) = 171699 / 11

LCM(121,1419) = 15609


Lets's calculate GCF of 347,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15609/1

Therefore the LCM of Fractions 121/347,1419/248 is 15609

Greatest Common Factor of 347,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,248 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 347,248 . The biggest common factor number is the GCF number.
So the greatest common factor 347,248 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 121/347, 1419/248

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 121/347, 1419/248?

Answer: LCM of Numerators as per given numbers 121/347, 1419/248 is

LCM of Numerators i.e. for 121,1419 is 15609

GCF of denominators i.e. for 347,248 is 1.

Thus, LCM of Fractions is 15609.Finally, LCM of Fractions for 121/347, 1419/248 is 15609.