Least Common Multiple of 428/52, 516/7014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/52, 516/7014 quickly i.e. 27606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/52, 516/7014 is 27606.

LCM(428/52, 516/7014) = 27606

LCM of 428/52, 516/7014

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 428/52,516/7014

Given numbers are 428/52,516/7014

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 428,516

Least Common Multiple of Numerators i.e. LCM of 428,516 is 55212.

GCF of Denominators means GCF of 52,7014 as per the given fractions.

GCF of 52,7014 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,516

LCM of Fractions 428/52,516/7014 is 27606

2 428, 516
2 214, 258
107, 129

∴ So the LCM of the given numbers is 2 x 2 x 107 x 129 = 55212

Least Common Multiple of 428,516 with GCF Formula

Least Common Multiple of 428,516 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 428,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,516) = 4

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

GCF(428,516) x common factors =4 x 1 = 4

LCM(428,516) = ( 428 × 516 ) / 4

LCM(428,516) = 220848 / 4

LCM(428,516) = 55212


Lets's calculate GCF of 52,7014

2 52, 7014
26, 3507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55212/2

Therefore the LCM of Fractions 428/52,516/7014 is 27606

Greatest Common Factor of 52,7014 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,7014 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 7014

List of positive integer factors of 7014 that divides 7014 without a remainder.

1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014

Greatest Common Factor

We found the factors 52,7014 . The biggest common factor number is the GCF number.
So the greatest common factor 52,7014 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 428/52, 516/7014

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 428/52, 516/7014?

Answer: LCM of Numerators as per given numbers 428/52, 516/7014 is

LCM of Numerators i.e. for 428,516 is 55212

GCF of denominators i.e. for 52,7014 is 2.

Thus, LCM of Fractions is 27606.Finally, LCM of Fractions for 428/52, 516/7014 is 27606.