Least Common Multiple of 8424/167, 3407/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8424/167, 3407/676 quickly i.e. 28700568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8424/167, 3407/676 is 28700568.

LCM(8424/167, 3407/676) = 28700568

LCM of 8424/167, 3407/676

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 8424/167,3407/676

Given numbers are 8424/167,3407/676

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 8424,3407

Least Common Multiple of Numerators i.e. LCM of 8424,3407 is 28700568.

GCF of Denominators means GCF of 167,676 as per the given fractions.

GCF of 167,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8424,3407

LCM of Fractions 8424/167,3407/676 is 28700568

Given numbers has no common factors except 1. So, there LCM is their product i.e 28700568

Least Common Multiple of 8424,3407 with GCF Formula

Least Common Multiple of 8424,3407 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 8424,3407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8424,3407) = 1

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

GCF(8424,3407) x common factors =1 x 1 = 1

LCM(8424,3407) = ( 8424 × 3407 ) / 1

LCM(8424,3407) = 28700568 / 1

LCM(8424,3407) = 28700568


Lets's calculate GCF of 167,676

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28700568/1

Therefore the LCM of Fractions 8424/167,3407/676 is 28700568

Greatest Common Factor of 167,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,676 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 167,676 . The biggest common factor number is the GCF number.
So the greatest common factor 167,676 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8424/167, 3407/676

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 8424/167, 3407/676?

Answer: LCM of Numerators as per given numbers 8424/167, 3407/676 is

LCM of Numerators i.e. for 8424,3407 is 28700568

GCF of denominators i.e. for 167,676 is 1.

Thus, LCM of Fractions is 28700568.Finally, LCM of Fractions for 8424/167, 3407/676 is 28700568.