Least Common Multiple of 5102/497, 3678/6457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5102/497, 3678/6457 quickly i.e. 9382578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5102/497, 3678/6457 is 9382578.

LCM(5102/497, 3678/6457) = 9382578

LCM of 5102/497, 3678/6457

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 5102/497,3678/6457

Given numbers are 5102/497,3678/6457

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 5102,3678

Least Common Multiple of Numerators i.e. LCM of 5102,3678 is 9382578.

GCF of Denominators means GCF of 497,6457 as per the given fractions.

GCF of 497,6457 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5102,3678

LCM of Fractions 5102/497,3678/6457 is 9382578

2 5102, 3678
2551, 1839

∴ So the LCM of the given numbers is 2 x 2551 x 1839 = 9382578

Least Common Multiple of 5102,3678 with GCF Formula

Least Common Multiple of 5102,3678 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 5102,3678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5102,3678) = 2

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

GCF(5102,3678) x common factors =2 x 1 = 2

LCM(5102,3678) = ( 5102 × 3678 ) / 2

LCM(5102,3678) = 18765156 / 2

LCM(5102,3678) = 9382578


Lets's calculate GCF of 497,6457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9382578/1

Therefore the LCM of Fractions 5102/497,3678/6457 is 9382578

Greatest Common Factor of 497,6457 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,6457 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 6457

List of positive integer factors of 6457 that divides 6457 without a remainder.

1,11,587,6457

Greatest Common Factor

We found the factors 497,6457 . The biggest common factor number is the GCF number.
So the greatest common factor 497,6457 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 5102/497, 3678/6457

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 5102/497, 3678/6457?

Answer: LCM of Numerators as per given numbers 5102/497, 3678/6457 is

LCM of Numerators i.e. for 5102,3678 is 9382578

GCF of denominators i.e. for 497,6457 is 1.

Thus, LCM of Fractions is 9382578.Finally, LCM of Fractions for 5102/497, 3678/6457 is 9382578.