Least Common Multiple of 334/77, 411/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 334/77, 411/285 quickly i.e. 137274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/77, 411/285 is 137274.

LCM(334/77, 411/285) = 137274

LCM of 334/77, 411/285

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 334/77,411/285

Given numbers are 334/77,411/285

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 334,411

Least Common Multiple of Numerators i.e. LCM of 334,411 is 137274.

GCF of Denominators means GCF of 77,285 as per the given fractions.

GCF of 77,285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,411

LCM of Fractions 334/77,411/285 is 137274

Given numbers has no common factors except 1. So, there LCM is their product i.e 137274

Least Common Multiple of 334,411 with GCF Formula

Least Common Multiple of 334,411 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 334,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,411) = 1

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

GCF(334,411) x common factors =1 x 1 = 1

LCM(334,411) = ( 334 × 411 ) / 1

LCM(334,411) = 137274 / 1

LCM(334,411) = 137274


Lets's calculate GCF of 77,285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137274/1

Therefore the LCM of Fractions 334/77,411/285 is 137274

Greatest Common Factor of 77,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,285 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 77,285 . The biggest common factor number is the GCF number.
So the greatest common factor 77,285 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 334/77, 411/285

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 334/77, 411/285?

Answer: LCM of Numerators as per given numbers 334/77, 411/285 is

LCM of Numerators i.e. for 334,411 is 137274

GCF of denominators i.e. for 77,285 is 1.

Thus, LCM of Fractions is 137274.Finally, LCM of Fractions for 334/77, 411/285 is 137274.