Least Common Multiple of 428/101, 1024/8853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/101, 1024/8853 quickly i.e. 109568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/101, 1024/8853 is 109568.

LCM(428/101, 1024/8853) = 109568

LCM of 428/101, 1024/8853

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 428/101,1024/8853

Given numbers are 428/101,1024/8853

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 428,1024

Least Common Multiple of Numerators i.e. LCM of 428,1024 is 109568.

GCF of Denominators means GCF of 101,8853 as per the given fractions.

GCF of 101,8853 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,1024

LCM of Fractions 428/101,1024/8853 is 109568

2 428, 1024
2 214, 512
107, 256

∴ So the LCM of the given numbers is 2 x 2 x 107 x 256 = 109568

Least Common Multiple of 428,1024 with GCF Formula

Least Common Multiple of 428,1024 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 428,1024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,1024) = 4

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

GCF(428,1024) x common factors =4 x 1 = 4

LCM(428,1024) = ( 428 × 1024 ) / 4

LCM(428,1024) = 438272 / 4

LCM(428,1024) = 109568


Lets's calculate GCF of 101,8853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109568/1

Therefore the LCM of Fractions 428/101,1024/8853 is 109568

Greatest Common Factor of 101,8853 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,8853 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 8853

List of positive integer factors of 8853 that divides 8853 without a remainder.

1,3,13,39,227,681,2951,8853

Greatest Common Factor

We found the factors 101,8853 . The biggest common factor number is the GCF number.
So the greatest common factor 101,8853 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 428/101, 1024/8853

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 428/101, 1024/8853?

Answer: LCM of Numerators as per given numbers 428/101, 1024/8853 is

LCM of Numerators i.e. for 428,1024 is 109568

GCF of denominators i.e. for 101,8853 is 1.

Thus, LCM of Fractions is 109568.Finally, LCM of Fractions for 428/101, 1024/8853 is 109568.