Least Common Multiple of 6528/840, 1248/8569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6528/840, 1248/8569 quickly i.e. 84864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6528/840, 1248/8569 is 84864.

LCM(6528/840, 1248/8569) = 84864

LCM of 6528/840, 1248/8569

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 6528/840,1248/8569

Given numbers are 6528/840,1248/8569

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 6528,1248

Least Common Multiple of Numerators i.e. LCM of 6528,1248 is 84864.

GCF of Denominators means GCF of 840,8569 as per the given fractions.

GCF of 840,8569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6528,1248

LCM of Fractions 6528/840,1248/8569 is 84864

2 6528, 1248
2 3264, 624
2 1632, 312
2 816, 156
2 408, 78
3 204, 39
68, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 68 x 13 = 84864

Least Common Multiple of 6528,1248 with GCF Formula

Least Common Multiple of 6528,1248 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 6528,1248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6528,1248) = 96

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

GCF(6528,1248) x common factors =96 x 1 = 96

LCM(6528,1248) = ( 6528 × 1248 ) / 96

LCM(6528,1248) = 8146944 / 96

LCM(6528,1248) = 84864


Lets's calculate GCF of 840,8569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84864/1

Therefore the LCM of Fractions 6528/840,1248/8569 is 84864

Greatest Common Factor of 840,8569 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,8569 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 8569

List of positive integer factors of 8569 that divides 8569 without a remainder.

1,11,19,41,209,451,779,8569

Greatest Common Factor

We found the factors 840,8569 . The biggest common factor number is the GCF number.
So the greatest common factor 840,8569 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 6528/840, 1248/8569

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 6528/840, 1248/8569?

Answer: LCM of Numerators as per given numbers 6528/840, 1248/8569 is

LCM of Numerators i.e. for 6528,1248 is 84864

GCF of denominators i.e. for 840,8569 is 1.

Thus, LCM of Fractions is 84864.Finally, LCM of Fractions for 6528/840, 1248/8569 is 84864.