Least Common Multiple of 465/244, 9780/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/244, 9780/592 quickly i.e. 75795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/244, 9780/592 is 75795.

LCM(465/244, 9780/592) = 75795

LCM of 465/244, 9780/592

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 465/244,9780/592

Given numbers are 465/244,9780/592

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 465,9780

Least Common Multiple of Numerators i.e. LCM of 465,9780 is 303180.

GCF of Denominators means GCF of 244,592 as per the given fractions.

GCF of 244,592 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,9780

LCM of Fractions 465/244,9780/592 is 75795

3 465, 9780
5 155, 3260
31, 652

∴ So the LCM of the given numbers is 3 x 5 x 31 x 652 = 303180

Least Common Multiple of 465,9780 with GCF Formula

Least Common Multiple of 465,9780 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 465,9780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,9780) = 15

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

GCF(465,9780) x common factors =15 x 1 = 15

LCM(465,9780) = ( 465 × 9780 ) / 15

LCM(465,9780) = 4547700 / 15

LCM(465,9780) = 303180


Lets's calculate GCF of 244,592

2 244, 592
2 122, 296
61, 148

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303180/4

Therefore the LCM of Fractions 465/244,9780/592 is 75795

Greatest Common Factor of 244,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,592 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 244,592 . The biggest common factor number is the GCF number.
So the greatest common factor 244,592 is 4.


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 465/244, 9780/592

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 465/244, 9780/592?

Answer: LCM of Numerators as per given numbers 465/244, 9780/592 is

LCM of Numerators i.e. for 465,9780 is 303180

GCF of denominators i.e. for 244,592 is 4.

Thus, LCM of Fractions is 75795.Finally, LCM of Fractions for 465/244, 9780/592 is 75795.