Least Common Multiple of 1764/315, 2135/8640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1764/315, 2135/8640 quickly i.e. 11956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1764/315, 2135/8640 is 11956.

LCM(1764/315, 2135/8640) = 11956

LCM of 1764/315, 2135/8640

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 1764/315,2135/8640

Given numbers are 1764/315,2135/8640

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 1764,2135

Least Common Multiple of Numerators i.e. LCM of 1764,2135 is 538020.

GCF of Denominators means GCF of 315,8640 as per the given fractions.

GCF of 315,8640 is 45 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1764,2135

LCM of Fractions 1764/315,2135/8640 is 11956

7 1764, 2135
252, 305

∴ So the LCM of the given numbers is 7 x 252 x 305 = 538020

Least Common Multiple of 1764,2135 with GCF Formula

Least Common Multiple of 1764,2135 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 1764,2135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1764,2135) = 7

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

GCF(1764,2135) x common factors =7 x 1 = 7

LCM(1764,2135) = ( 1764 × 2135 ) / 7

LCM(1764,2135) = 3766140 / 7

LCM(1764,2135) = 538020


Lets's calculate GCF of 315,8640

3 315, 8640
3 105, 2880
5 35, 960
7, 192

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 538020/45

Therefore the LCM of Fractions 1764/315,2135/8640 is 11956

Greatest Common Factor of 315,8640 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,8640 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 8640

List of positive integer factors of 8640 that divides 8640 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640

Greatest Common Factor

We found the factors 315,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 315,8640 is 45.


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 1764/315, 2135/8640

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 1764/315, 2135/8640?

Answer: LCM of Numerators as per given numbers 1764/315, 2135/8640 is

LCM of Numerators i.e. for 1764,2135 is 538020

GCF of denominators i.e. for 315,8640 is 45.

Thus, LCM of Fractions is 11956.Finally, LCM of Fractions for 1764/315, 2135/8640 is 11956.