Least Common Multiple of 969/864, 1296/8480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/864, 1296/8480 quickly i.e. 418608/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/864, 1296/8480 is 418608/32.

LCM(969/864, 1296/8480) = 418608/32

LCM of 969/864, 1296/8480

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 969/864,1296/8480

Given numbers are 969/864,1296/8480

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 969,1296

Least Common Multiple of Numerators i.e. LCM of 969,1296 is 418608.

GCF of Denominators means GCF of 864,8480 as per the given fractions.

GCF of 864,8480 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,1296

LCM of Fractions 969/864,1296/8480 is 418608/32

3 969, 1296
323, 432

∴ So the LCM of the given numbers is 3 x 323 x 432 = 418608

Least Common Multiple of 969,1296 with GCF Formula

Least Common Multiple of 969,1296 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 969,1296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,1296) = 3

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

GCF(969,1296) x common factors =3 x 1 = 3

LCM(969,1296) = ( 969 × 1296 ) / 3

LCM(969,1296) = 1255824 / 3

LCM(969,1296) = 418608


Lets's calculate GCF of 864,8480

2 864, 8480
2 432, 4240
2 216, 2120
2 108, 1060
2 54, 530
27, 265

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418608/32

Therefore the LCM of Fractions 969/864,1296/8480 is 418608/32

Greatest Common Factor of 864,8480 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,8480 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 8480

List of positive integer factors of 8480 that divides 8480 without a remainder.

1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480

Greatest Common Factor

We found the factors 864,8480 . The biggest common factor number is the GCF number.
So the greatest common factor 864,8480 is 32.


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 969/864, 1296/8480

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 969/864, 1296/8480?

Answer: LCM of Numerators as per given numbers 969/864, 1296/8480 is

LCM of Numerators i.e. for 969,1296 is 418608

GCF of denominators i.e. for 864,8480 is 32.

Thus, LCM of Fractions is 418608/32.Finally, LCM of Fractions for 969/864, 1296/8480 is 418608/32.