Least Common Multiple of 676/408, 8417/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/408, 8417/862 quickly i.e. 2844946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/408, 8417/862 is 2844946.

LCM(676/408, 8417/862) = 2844946

LCM of 676/408, 8417/862

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 676/408,8417/862

Given numbers are 676/408,8417/862

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 676,8417

Least Common Multiple of Numerators i.e. LCM of 676,8417 is 5689892.

GCF of Denominators means GCF of 408,862 as per the given fractions.

GCF of 408,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,8417

LCM of Fractions 676/408,8417/862 is 2844946

Given numbers has no common factors except 1. So, there LCM is their product i.e 5689892

Least Common Multiple of 676,8417 with GCF Formula

Least Common Multiple of 676,8417 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 676,8417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,8417) = 1

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

GCF(676,8417) x common factors =1 x 1 = 1

LCM(676,8417) = ( 676 × 8417 ) / 1

LCM(676,8417) = 5689892 / 1

LCM(676,8417) = 5689892


Lets's calculate GCF of 408,862

2 408, 862
204, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5689892/2

Therefore the LCM of Fractions 676/408,8417/862 is 2844946

Greatest Common Factor of 408,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,862 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 408,862 . The biggest common factor number is the GCF number.
So the greatest common factor 408,862 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 676/408, 8417/862

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 676/408, 8417/862?

Answer: LCM of Numerators as per given numbers 676/408, 8417/862 is

LCM of Numerators i.e. for 676,8417 is 5689892

GCF of denominators i.e. for 408,862 is 2.

Thus, LCM of Fractions is 2844946.Finally, LCM of Fractions for 676/408, 8417/862 is 2844946.