Least Common Multiple of 415/14, 678/9676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 415/14, 678/9676 quickly i.e. 140685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 415/14, 678/9676 is 140685.

LCM(415/14, 678/9676) = 140685

LCM of 415/14, 678/9676

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 415/14,678/9676

Given numbers are 415/14,678/9676

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 415,678

Least Common Multiple of Numerators i.e. LCM of 415,678 is 281370.

GCF of Denominators means GCF of 14,9676 as per the given fractions.

GCF of 14,9676 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 415,678

LCM of Fractions 415/14,678/9676 is 140685

Given numbers has no common factors except 1. So, there LCM is their product i.e 281370

Least Common Multiple of 415,678 with GCF Formula

Least Common Multiple of 415,678 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 415,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(415,678) = 1

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

GCF(415,678) x common factors =1 x 1 = 1

LCM(415,678) = ( 415 × 678 ) / 1

LCM(415,678) = 281370 / 1

LCM(415,678) = 281370


Lets's calculate GCF of 14,9676

2 14, 9676
7, 4838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281370/2

Therefore the LCM of Fractions 415/14,678/9676 is 140685

Greatest Common Factor of 14,9676 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,9676 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 9676

List of positive integer factors of 9676 that divides 9676 without a remainder.

1,2,4,41,59,82,118,164,236,2419,4838,9676

Greatest Common Factor

We found the factors 14,9676 . The biggest common factor number is the GCF number.
So the greatest common factor 14,9676 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 415/14, 678/9676

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 415/14, 678/9676?

Answer: LCM of Numerators as per given numbers 415/14, 678/9676 is

LCM of Numerators i.e. for 415,678 is 281370

GCF of denominators i.e. for 14,9676 is 2.

Thus, LCM of Fractions is 140685.Finally, LCM of Fractions for 415/14, 678/9676 is 140685.