Least Common Multiple of 408/514, 8555/8428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/514, 8555/8428 quickly i.e. 1745220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/514, 8555/8428 is 1745220.

LCM(408/514, 8555/8428) = 1745220

LCM of 408/514, 8555/8428

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 408/514,8555/8428

Given numbers are 408/514,8555/8428

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 408,8555

Least Common Multiple of Numerators i.e. LCM of 408,8555 is 3490440.

GCF of Denominators means GCF of 514,8428 as per the given fractions.

GCF of 514,8428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,8555

LCM of Fractions 408/514,8555/8428 is 1745220

Given numbers has no common factors except 1. So, there LCM is their product i.e 3490440

Least Common Multiple of 408,8555 with GCF Formula

Least Common Multiple of 408,8555 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 408,8555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,8555) = 1

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

GCF(408,8555) x common factors =1 x 1 = 1

LCM(408,8555) = ( 408 × 8555 ) / 1

LCM(408,8555) = 3490440 / 1

LCM(408,8555) = 3490440


Lets's calculate GCF of 514,8428

2 514, 8428
257, 4214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3490440/2

Therefore the LCM of Fractions 408/514,8555/8428 is 1745220

Greatest Common Factor of 514,8428 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,8428 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 8428

List of positive integer factors of 8428 that divides 8428 without a remainder.

1,2,4,7,14,28,43,49,86,98,172,196,301,602,1204,2107,4214,8428

Greatest Common Factor

We found the factors 514,8428 . The biggest common factor number is the GCF number.
So the greatest common factor 514,8428 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 408/514, 8555/8428

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 408/514, 8555/8428?

Answer: LCM of Numerators as per given numbers 408/514, 8555/8428 is

LCM of Numerators i.e. for 408,8555 is 3490440

GCF of denominators i.e. for 514,8428 is 2.

Thus, LCM of Fractions is 1745220.Finally, LCM of Fractions for 408/514, 8555/8428 is 1745220.