Least Common Multiple of 408/50, 342/5595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/50, 342/5595 quickly i.e. 23256/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/50, 342/5595 is 23256/5.

LCM(408/50, 342/5595) = 23256/5

LCM of 408/50, 342/5595

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 408/50,342/5595

Given numbers are 408/50,342/5595

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 408,342

Least Common Multiple of Numerators i.e. LCM of 408,342 is 23256.

GCF of Denominators means GCF of 50,5595 as per the given fractions.

GCF of 50,5595 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,342

LCM of Fractions 408/50,342/5595 is 23256/5

2 408, 342
3 204, 171
68, 57

∴ So the LCM of the given numbers is 2 x 3 x 68 x 57 = 23256

Least Common Multiple of 408,342 with GCF Formula

Least Common Multiple of 408,342 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 408,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,342) = 6

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

GCF(408,342) x common factors =6 x 1 = 6

LCM(408,342) = ( 408 × 342 ) / 6

LCM(408,342) = 139536 / 6

LCM(408,342) = 23256


Lets's calculate GCF of 50,5595

5 50, 5595
10, 1119

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23256/5

Therefore the LCM of Fractions 408/50,342/5595 is 23256/5

Greatest Common Factor of 50,5595 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,5595 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 5595

List of positive integer factors of 5595 that divides 5595 without a remainder.

1,3,5,15,373,1119,1865,5595

Greatest Common Factor

We found the factors 50,5595 . The biggest common factor number is the GCF number.
So the greatest common factor 50,5595 is 5.


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 408/50, 342/5595

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 408/50, 342/5595?

Answer: LCM of Numerators as per given numbers 408/50, 342/5595 is

LCM of Numerators i.e. for 408,342 is 23256

GCF of denominators i.e. for 50,5595 is 5.

Thus, LCM of Fractions is 23256/5.Finally, LCM of Fractions for 408/50, 342/5595 is 23256/5.