Least Common Multiple of 754/465, 4640/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/465, 4640/195 quickly i.e. 60320/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/465, 4640/195 is 60320/15.

LCM(754/465, 4640/195) = 60320/15

LCM of 754/465, 4640/195

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 754/465,4640/195

Given numbers are 754/465,4640/195

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 754,4640

Least Common Multiple of Numerators i.e. LCM of 754,4640 is 60320.

GCF of Denominators means GCF of 465,195 as per the given fractions.

GCF of 465,195 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,4640

LCM of Fractions 754/465,4640/195 is 60320/15

2 754, 4640
29 377, 2320
13, 80

∴ So the LCM of the given numbers is 2 x 29 x 13 x 80 = 60320

Least Common Multiple of 754,4640 with GCF Formula

Least Common Multiple of 754,4640 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 754,4640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,4640) = 58

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

GCF(754,4640) x common factors =58 x 1 = 58

LCM(754,4640) = ( 754 × 4640 ) / 58

LCM(754,4640) = 3498560 / 58

LCM(754,4640) = 60320


Lets's calculate GCF of 465,195

3 465, 195
5 155, 65
31, 13

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60320/15

Therefore the LCM of Fractions 754/465,4640/195 is 60320/15

Greatest Common Factor of 465,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,195 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 465,195 . The biggest common factor number is the GCF number.
So the greatest common factor 465,195 is 15.


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 754/465, 4640/195

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 754/465, 4640/195?

Answer: LCM of Numerators as per given numbers 754/465, 4640/195 is

LCM of Numerators i.e. for 754,4640 is 60320

GCF of denominators i.e. for 465,195 is 15.

Thus, LCM of Fractions is 60320/15.Finally, LCM of Fractions for 754/465, 4640/195 is 60320/15.