Least Common Multiple of 514/98, 269/7016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/98, 269/7016 quickly i.e. 69133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/98, 269/7016 is 69133.

LCM(514/98, 269/7016) = 69133

LCM of 514/98, 269/7016

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 514/98,269/7016

Given numbers are 514/98,269/7016

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 514,269

Least Common Multiple of Numerators i.e. LCM of 514,269 is 138266.

GCF of Denominators means GCF of 98,7016 as per the given fractions.

GCF of 98,7016 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,269

LCM of Fractions 514/98,269/7016 is 69133

Given numbers has no common factors except 1. So, there LCM is their product i.e 138266

Least Common Multiple of 514,269 with GCF Formula

Least Common Multiple of 514,269 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 514,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,269) = 1

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

GCF(514,269) x common factors =1 x 1 = 1

LCM(514,269) = ( 514 × 269 ) / 1

LCM(514,269) = 138266 / 1

LCM(514,269) = 138266


Lets's calculate GCF of 98,7016

2 98, 7016
49, 3508

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138266/2

Therefore the LCM of Fractions 514/98,269/7016 is 69133

Greatest Common Factor of 98,7016 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,7016 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 7016

List of positive integer factors of 7016 that divides 7016 without a remainder.

1,2,4,8,877,1754,3508,7016

Greatest Common Factor

We found the factors 98,7016 . The biggest common factor number is the GCF number.
So the greatest common factor 98,7016 is 2.


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 514/98, 269/7016

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 514/98, 269/7016?

Answer: LCM of Numerators as per given numbers 514/98, 269/7016 is

LCM of Numerators i.e. for 514,269 is 138266

GCF of denominators i.e. for 98,7016 is 2.

Thus, LCM of Fractions is 69133.Finally, LCM of Fractions for 514/98, 269/7016 is 69133.