Least Common Multiple of 3200/764, 9265/1517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3200/764, 9265/1517 quickly i.e. 5929600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3200/764, 9265/1517 is 5929600.

LCM(3200/764, 9265/1517) = 5929600

LCM of 3200/764, 9265/1517

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 3200/764,9265/1517

Given numbers are 3200/764,9265/1517

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 3200,9265

Least Common Multiple of Numerators i.e. LCM of 3200,9265 is 5929600.

GCF of Denominators means GCF of 764,1517 as per the given fractions.

GCF of 764,1517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3200,9265

LCM of Fractions 3200/764,9265/1517 is 5929600

5 3200, 9265
640, 1853

∴ So the LCM of the given numbers is 5 x 640 x 1853 = 5929600

Least Common Multiple of 3200,9265 with GCF Formula

Least Common Multiple of 3200,9265 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 3200,9265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3200,9265) = 5

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

GCF(3200,9265) x common factors =5 x 1 = 5

LCM(3200,9265) = ( 3200 × 9265 ) / 5

LCM(3200,9265) = 29648000 / 5

LCM(3200,9265) = 5929600


Lets's calculate GCF of 764,1517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5929600/1

Therefore the LCM of Fractions 3200/764,9265/1517 is 5929600

Greatest Common Factor of 764,1517 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,1517 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 1517

List of positive integer factors of 1517 that divides 1517 without a remainder.

1,37,41,1517

Greatest Common Factor

We found the factors 764,1517 . The biggest common factor number is the GCF number.
So the greatest common factor 764,1517 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 3200/764, 9265/1517

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 3200/764, 9265/1517?

Answer: LCM of Numerators as per given numbers 3200/764, 9265/1517 is

LCM of Numerators i.e. for 3200,9265 is 5929600

GCF of denominators i.e. for 764,1517 is 1.

Thus, LCM of Fractions is 5929600.Finally, LCM of Fractions for 3200/764, 9265/1517 is 5929600.