Least Common Multiple of 3857/765, 7457/9415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3857/765, 7457/9415 quickly i.e. 28761649/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3857/765, 7457/9415 is 28761649/5.

LCM(3857/765, 7457/9415) = 28761649/5

LCM of 3857/765, 7457/9415

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 3857/765,7457/9415

Given numbers are 3857/765,7457/9415

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 3857,7457

Least Common Multiple of Numerators i.e. LCM of 3857,7457 is 28761649.

GCF of Denominators means GCF of 765,9415 as per the given fractions.

GCF of 765,9415 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3857,7457

LCM of Fractions 3857/765,7457/9415 is 28761649/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 28761649

Least Common Multiple of 3857,7457 with GCF Formula

Least Common Multiple of 3857,7457 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 3857,7457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3857,7457) = 1

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

GCF(3857,7457) x common factors =1 x 1 = 1

LCM(3857,7457) = ( 3857 × 7457 ) / 1

LCM(3857,7457) = 28761649 / 1

LCM(3857,7457) = 28761649


Lets's calculate GCF of 765,9415

5 765, 9415
153, 1883

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28761649/5

Therefore the LCM of Fractions 3857/765,7457/9415 is 28761649/5

Greatest Common Factor of 765,9415 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,9415 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 9415

List of positive integer factors of 9415 that divides 9415 without a remainder.

1,5,7,35,269,1345,1883,9415

Greatest Common Factor

We found the factors 765,9415 . The biggest common factor number is the GCF number.
So the greatest common factor 765,9415 is 5.


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 3857/765, 7457/9415

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 3857/765, 7457/9415?

Answer: LCM of Numerators as per given numbers 3857/765, 7457/9415 is

LCM of Numerators i.e. for 3857,7457 is 28761649

GCF of denominators i.e. for 765,9415 is 5.

Thus, LCM of Fractions is 28761649/5.Finally, LCM of Fractions for 3857/765, 7457/9415 is 28761649/5.