Least Common Multiple of 514/54, 518/7078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/54, 518/7078 quickly i.e. 66563 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/54, 518/7078 is 66563.

LCM(514/54, 518/7078) = 66563

LCM of 514/54, 518/7078

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 514/54,518/7078

Given numbers are 514/54,518/7078

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 514,518

Least Common Multiple of Numerators i.e. LCM of 514,518 is 133126.

GCF of Denominators means GCF of 54,7078 as per the given fractions.

GCF of 54,7078 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,518

LCM of Fractions 514/54,518/7078 is 66563

2 514, 518
257, 259

∴ So the LCM of the given numbers is 2 x 257 x 259 = 133126

Least Common Multiple of 514,518 with GCF Formula

Least Common Multiple of 514,518 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 514,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,518) = 2

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

GCF(514,518) x common factors =2 x 1 = 2

LCM(514,518) = ( 514 × 518 ) / 2

LCM(514,518) = 266252 / 2

LCM(514,518) = 133126


Lets's calculate GCF of 54,7078

2 54, 7078
27, 3539

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133126/2

Therefore the LCM of Fractions 514/54,518/7078 is 66563

Greatest Common Factor of 54,7078 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,7078 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 7078

List of positive integer factors of 7078 that divides 7078 without a remainder.

1,2,3539,7078

Greatest Common Factor

We found the factors 54,7078 . The biggest common factor number is the GCF number.
So the greatest common factor 54,7078 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 514/54, 518/7078

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 514/54, 518/7078?

Answer: LCM of Numerators as per given numbers 514/54, 518/7078 is

LCM of Numerators i.e. for 514,518 is 133126

GCF of denominators i.e. for 54,7078 is 2.

Thus, LCM of Fractions is 66563.Finally, LCM of Fractions for 514/54, 518/7078 is 66563.