Least Common Multiple of 121/14, 780/1367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 121/14, 780/1367 quickly i.e. 94380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 121/14, 780/1367 is 94380.

LCM(121/14, 780/1367) = 94380

LCM of 121/14, 780/1367

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 121/14,780/1367

Given numbers are 121/14,780/1367

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 121,780

Least Common Multiple of Numerators i.e. LCM of 121,780 is 94380.

GCF of Denominators means GCF of 14,1367 as per the given fractions.

GCF of 14,1367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 121,780

LCM of Fractions 121/14,780/1367 is 94380

Given numbers has no common factors except 1. So, there LCM is their product i.e 94380

Least Common Multiple of 121,780 with GCF Formula

Least Common Multiple of 121,780 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 121,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,780) = 1

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

GCF(121,780) x common factors =1 x 1 = 1

LCM(121,780) = ( 121 × 780 ) / 1

LCM(121,780) = 94380 / 1

LCM(121,780) = 94380


Lets's calculate GCF of 14,1367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94380/1

Therefore the LCM of Fractions 121/14,780/1367 is 94380

Greatest Common Factor of 14,1367 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,1367 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 1367

List of positive integer factors of 1367 that divides 1367 without a remainder.

1,1367

Greatest Common Factor

We found the factors 14,1367 . The biggest common factor number is the GCF number.
So the greatest common factor 14,1367 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 121/14, 780/1367

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 121/14, 780/1367?

Answer: LCM of Numerators as per given numbers 121/14, 780/1367 is

LCM of Numerators i.e. for 121,780 is 94380

GCF of denominators i.e. for 14,1367 is 1.

Thus, LCM of Fractions is 94380.Finally, LCM of Fractions for 121/14, 780/1367 is 94380.