Least Common Multiple of 4624/542, 1146/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4624/542, 1146/416 quickly i.e. 1324776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4624/542, 1146/416 is 1324776.

LCM(4624/542, 1146/416) = 1324776

LCM of 4624/542, 1146/416

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 4624/542,1146/416

Given numbers are 4624/542,1146/416

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 4624,1146

Least Common Multiple of Numerators i.e. LCM of 4624,1146 is 2649552.

GCF of Denominators means GCF of 542,416 as per the given fractions.

GCF of 542,416 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4624,1146

LCM of Fractions 4624/542,1146/416 is 1324776

2 4624, 1146
2312, 573

∴ So the LCM of the given numbers is 2 x 2312 x 573 = 2649552

Least Common Multiple of 4624,1146 with GCF Formula

Least Common Multiple of 4624,1146 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 4624,1146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4624,1146) = 2

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

GCF(4624,1146) x common factors =2 x 1 = 2

LCM(4624,1146) = ( 4624 × 1146 ) / 2

LCM(4624,1146) = 5299104 / 2

LCM(4624,1146) = 2649552


Lets's calculate GCF of 542,416

2 542, 416
271, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2649552/2

Therefore the LCM of Fractions 4624/542,1146/416 is 1324776

Greatest Common Factor of 542,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,416 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 542,416 . The biggest common factor number is the GCF number.
So the greatest common factor 542,416 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 4624/542, 1146/416

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 4624/542, 1146/416?

Answer: LCM of Numerators as per given numbers 4624/542, 1146/416 is

LCM of Numerators i.e. for 4624,1146 is 2649552

GCF of denominators i.e. for 542,416 is 2.

Thus, LCM of Fractions is 1324776.Finally, LCM of Fractions for 4624/542, 1146/416 is 1324776.