Least Common Multiple of 7359/469, 5313/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7359/469, 5313/623 quickly i.e. 169257 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7359/469, 5313/623 is 169257.

LCM(7359/469, 5313/623) = 169257

LCM of 7359/469, 5313/623

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 7359/469,5313/623

Given numbers are 7359/469,5313/623

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 7359,5313

Least Common Multiple of Numerators i.e. LCM of 7359,5313 is 1184799.

GCF of Denominators means GCF of 469,623 as per the given fractions.

GCF of 469,623 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7359,5313

LCM of Fractions 7359/469,5313/623 is 169257

3 7359, 5313
11 2453, 1771
223, 161

∴ So the LCM of the given numbers is 3 x 11 x 223 x 161 = 1184799

Least Common Multiple of 7359,5313 with GCF Formula

Least Common Multiple of 7359,5313 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 7359,5313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7359,5313) = 33

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

GCF(7359,5313) x common factors =33 x 1 = 33

LCM(7359,5313) = ( 7359 × 5313 ) / 33

LCM(7359,5313) = 39098367 / 33

LCM(7359,5313) = 1184799


Lets's calculate GCF of 469,623

7 469, 623
67, 89

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1184799/7

Therefore the LCM of Fractions 7359/469,5313/623 is 169257

Greatest Common Factor of 469,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,623 By Matching Biggest Common Factor Method

Factors of 469

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

1,7,67,469

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 469,623 . The biggest common factor number is the GCF number.
So the greatest common factor 469,623 is 7.


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 7359/469, 5313/623

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 7359/469, 5313/623?

Answer: LCM of Numerators as per given numbers 7359/469, 5313/623 is

LCM of Numerators i.e. for 7359,5313 is 1184799

GCF of denominators i.e. for 469,623 is 7.

Thus, LCM of Fractions is 169257.Finally, LCM of Fractions for 7359/469, 5313/623 is 169257.