Least Common Multiple of 8952/783, 1462/2048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8952/783, 1462/2048 quickly i.e. 6543912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8952/783, 1462/2048 is 6543912.

LCM(8952/783, 1462/2048) = 6543912

LCM of 8952/783, 1462/2048

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 8952/783,1462/2048

Given numbers are 8952/783,1462/2048

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 8952,1462

Least Common Multiple of Numerators i.e. LCM of 8952,1462 is 6543912.

GCF of Denominators means GCF of 783,2048 as per the given fractions.

GCF of 783,2048 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8952,1462

LCM of Fractions 8952/783,1462/2048 is 6543912

2 8952, 1462
4476, 731

∴ So the LCM of the given numbers is 2 x 4476 x 731 = 6543912

Least Common Multiple of 8952,1462 with GCF Formula

Least Common Multiple of 8952,1462 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 8952,1462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8952,1462) = 2

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

GCF(8952,1462) x common factors =2 x 1 = 2

LCM(8952,1462) = ( 8952 × 1462 ) / 2

LCM(8952,1462) = 13087824 / 2

LCM(8952,1462) = 6543912


Lets's calculate GCF of 783,2048

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6543912/1

Therefore the LCM of Fractions 8952/783,1462/2048 is 6543912

Greatest Common Factor of 783,2048 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,2048 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 2048

List of positive integer factors of 2048 that divides 2048 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024,2048

Greatest Common Factor

We found the factors 783,2048 . The biggest common factor number is the GCF number.
So the greatest common factor 783,2048 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 8952/783, 1462/2048

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 8952/783, 1462/2048?

Answer: LCM of Numerators as per given numbers 8952/783, 1462/2048 is

LCM of Numerators i.e. for 8952,1462 is 6543912

GCF of denominators i.e. for 783,2048 is 1.

Thus, LCM of Fractions is 6543912.Finally, LCM of Fractions for 8952/783, 1462/2048 is 6543912.