Least Common Multiple of 2942/417, 3504/8314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2942/417, 3504/8314 quickly i.e. 5154384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2942/417, 3504/8314 is 5154384.

LCM(2942/417, 3504/8314) = 5154384

LCM of 2942/417, 3504/8314

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 2942/417,3504/8314

Given numbers are 2942/417,3504/8314

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 2942,3504

Least Common Multiple of Numerators i.e. LCM of 2942,3504 is 5154384.

GCF of Denominators means GCF of 417,8314 as per the given fractions.

GCF of 417,8314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2942,3504

LCM of Fractions 2942/417,3504/8314 is 5154384

2 2942, 3504
1471, 1752

∴ So the LCM of the given numbers is 2 x 1471 x 1752 = 5154384

Least Common Multiple of 2942,3504 with GCF Formula

Least Common Multiple of 2942,3504 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 2942,3504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2942,3504) = 2

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

GCF(2942,3504) x common factors =2 x 1 = 2

LCM(2942,3504) = ( 2942 × 3504 ) / 2

LCM(2942,3504) = 10308768 / 2

LCM(2942,3504) = 5154384


Lets's calculate GCF of 417,8314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5154384/1

Therefore the LCM of Fractions 2942/417,3504/8314 is 5154384

Greatest Common Factor of 417,8314 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,8314 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 8314

List of positive integer factors of 8314 that divides 8314 without a remainder.

1,2,4157,8314

Greatest Common Factor

We found the factors 417,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 417,8314 is 1.


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 2942/417, 3504/8314

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 2942/417, 3504/8314?

Answer: LCM of Numerators as per given numbers 2942/417, 3504/8314 is

LCM of Numerators i.e. for 2942,3504 is 5154384

GCF of denominators i.e. for 417,8314 is 1.

Thus, LCM of Fractions is 5154384.Finally, LCM of Fractions for 2942/417, 3504/8314 is 5154384.