Least Common Multiple of 514/316, 4104/4426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/316, 4104/4426 quickly i.e. 527364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/316, 4104/4426 is 527364.

LCM(514/316, 4104/4426) = 527364

LCM of 514/316, 4104/4426

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 514/316,4104/4426

Given numbers are 514/316,4104/4426

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 514,4104

Least Common Multiple of Numerators i.e. LCM of 514,4104 is 1054728.

GCF of Denominators means GCF of 316,4426 as per the given fractions.

GCF of 316,4426 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,4104

LCM of Fractions 514/316,4104/4426 is 527364

2 514, 4104
257, 2052

∴ So the LCM of the given numbers is 2 x 257 x 2052 = 1054728

Least Common Multiple of 514,4104 with GCF Formula

Least Common Multiple of 514,4104 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 514,4104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,4104) = 2

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

GCF(514,4104) x common factors =2 x 1 = 2

LCM(514,4104) = ( 514 × 4104 ) / 2

LCM(514,4104) = 2109456 / 2

LCM(514,4104) = 1054728


Lets's calculate GCF of 316,4426

2 316, 4426
158, 2213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1054728/2

Therefore the LCM of Fractions 514/316,4104/4426 is 527364

Greatest Common Factor of 316,4426 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,4426 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 4426

List of positive integer factors of 4426 that divides 4426 without a remainder.

1,2,2213,4426

Greatest Common Factor

We found the factors 316,4426 . The biggest common factor number is the GCF number.
So the greatest common factor 316,4426 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 514/316, 4104/4426

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 514/316, 4104/4426?

Answer: LCM of Numerators as per given numbers 514/316, 4104/4426 is

LCM of Numerators i.e. for 514,4104 is 1054728

GCF of denominators i.e. for 316,4426 is 2.

Thus, LCM of Fractions is 527364.Finally, LCM of Fractions for 514/316, 4104/4426 is 527364.