Least Common Multiple of 516/49, 289/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/49, 289/354 quickly i.e. 149124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/49, 289/354 is 149124.

LCM(516/49, 289/354) = 149124

LCM of 516/49, 289/354

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 516/49,289/354

Given numbers are 516/49,289/354

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 516,289

Least Common Multiple of Numerators i.e. LCM of 516,289 is 149124.

GCF of Denominators means GCF of 49,354 as per the given fractions.

GCF of 49,354 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,289

LCM of Fractions 516/49,289/354 is 149124

Given numbers has no common factors except 1. So, there LCM is their product i.e 149124

Least Common Multiple of 516,289 with GCF Formula

Least Common Multiple of 516,289 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 516,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,289) = 1

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

GCF(516,289) x common factors =1 x 1 = 1

LCM(516,289) = ( 516 × 289 ) / 1

LCM(516,289) = 149124 / 1

LCM(516,289) = 149124


Lets's calculate GCF of 49,354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149124/1

Therefore the LCM of Fractions 516/49,289/354 is 149124

Greatest Common Factor of 49,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,354 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 49,354 . The biggest common factor number is the GCF number.
So the greatest common factor 49,354 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 516/49, 289/354

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 516/49, 289/354?

Answer: LCM of Numerators as per given numbers 516/49, 289/354 is

LCM of Numerators i.e. for 516,289 is 149124

GCF of denominators i.e. for 49,354 is 1.

Thus, LCM of Fractions is 149124.Finally, LCM of Fractions for 516/49, 289/354 is 149124.