Least Common Multiple of 7965/781, 7425/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7965/781, 7425/812 quickly i.e. 438075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7965/781, 7425/812 is 438075.

LCM(7965/781, 7425/812) = 438075

LCM of 7965/781, 7425/812

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 7965/781,7425/812

Given numbers are 7965/781,7425/812

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 7965,7425

Least Common Multiple of Numerators i.e. LCM of 7965,7425 is 438075.

GCF of Denominators means GCF of 781,812 as per the given fractions.

GCF of 781,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7965,7425

LCM of Fractions 7965/781,7425/812 is 438075

3 7965, 7425
3 2655, 2475
3 885, 825
5 295, 275
59, 55

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 59 x 55 = 438075

Least Common Multiple of 7965,7425 with GCF Formula

Least Common Multiple of 7965,7425 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 7965,7425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7965,7425) = 135

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

GCF(7965,7425) x common factors =135 x 1 = 135

LCM(7965,7425) = ( 7965 × 7425 ) / 135

LCM(7965,7425) = 59140125 / 135

LCM(7965,7425) = 438075


Lets's calculate GCF of 781,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438075/1

Therefore the LCM of Fractions 7965/781,7425/812 is 438075

Greatest Common Factor of 781,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,812 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 781,812 . The biggest common factor number is the GCF number.
So the greatest common factor 781,812 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 7965/781, 7425/812

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 7965/781, 7425/812?

Answer: LCM of Numerators as per given numbers 7965/781, 7425/812 is

LCM of Numerators i.e. for 7965,7425 is 438075

GCF of denominators i.e. for 781,812 is 1.

Thus, LCM of Fractions is 438075.Finally, LCM of Fractions for 7965/781, 7425/812 is 438075.