Least Common Multiple of 705/638, 8369/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/638, 8369/469 quickly i.e. 5900145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/638, 8369/469 is 5900145.

LCM(705/638, 8369/469) = 5900145

LCM of 705/638, 8369/469

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 705/638,8369/469

Given numbers are 705/638,8369/469

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 705,8369

Least Common Multiple of Numerators i.e. LCM of 705,8369 is 5900145.

GCF of Denominators means GCF of 638,469 as per the given fractions.

GCF of 638,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,8369

LCM of Fractions 705/638,8369/469 is 5900145

Given numbers has no common factors except 1. So, there LCM is their product i.e 5900145

Least Common Multiple of 705,8369 with GCF Formula

Least Common Multiple of 705,8369 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 705,8369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,8369) = 1

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

GCF(705,8369) x common factors =1 x 1 = 1

LCM(705,8369) = ( 705 × 8369 ) / 1

LCM(705,8369) = 5900145 / 1

LCM(705,8369) = 5900145


Lets's calculate GCF of 638,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5900145/1

Therefore the LCM of Fractions 705/638,8369/469 is 5900145

Greatest Common Factor of 638,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,469 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 638,469 . The biggest common factor number is the GCF number.
So the greatest common factor 638,469 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 705/638, 8369/469

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 705/638, 8369/469?

Answer: LCM of Numerators as per given numbers 705/638, 8369/469 is

LCM of Numerators i.e. for 705,8369 is 5900145

GCF of denominators i.e. for 638,469 is 1.

Thus, LCM of Fractions is 5900145.Finally, LCM of Fractions for 705/638, 8369/469 is 5900145.