Least Common Multiple of 134/151, 2121/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 134/151, 2121/392 quickly i.e. 284214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 134/151, 2121/392 is 284214.

LCM(134/151, 2121/392) = 284214

LCM of 134/151, 2121/392

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 134/151,2121/392

Given numbers are 134/151,2121/392

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 134,2121

Least Common Multiple of Numerators i.e. LCM of 134,2121 is 284214.

GCF of Denominators means GCF of 151,392 as per the given fractions.

GCF of 151,392 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 134,2121

LCM of Fractions 134/151,2121/392 is 284214

Given numbers has no common factors except 1. So, there LCM is their product i.e 284214

Least Common Multiple of 134,2121 with GCF Formula

Least Common Multiple of 134,2121 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 134,2121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,2121) = 1

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

GCF(134,2121) x common factors =1 x 1 = 1

LCM(134,2121) = ( 134 × 2121 ) / 1

LCM(134,2121) = 284214 / 1

LCM(134,2121) = 284214


Lets's calculate GCF of 151,392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284214/1

Therefore the LCM of Fractions 134/151,2121/392 is 284214

Greatest Common Factor of 151,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,392 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 151,392 . The biggest common factor number is the GCF number.
So the greatest common factor 151,392 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 134/151, 2121/392

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 134/151, 2121/392?

Answer: LCM of Numerators as per given numbers 134/151, 2121/392 is

LCM of Numerators i.e. for 134,2121 is 284214

GCF of denominators i.e. for 151,392 is 1.

Thus, LCM of Fractions is 284214.Finally, LCM of Fractions for 134/151, 2121/392 is 284214.