Least Common Multiple of 984/23, 128/8614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/23, 128/8614 quickly i.e. 15744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/23, 128/8614 is 15744.

LCM(984/23, 128/8614) = 15744

LCM of 984/23, 128/8614

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 984/23,128/8614

Given numbers are 984/23,128/8614

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 984,128

Least Common Multiple of Numerators i.e. LCM of 984,128 is 15744.

GCF of Denominators means GCF of 23,8614 as per the given fractions.

GCF of 23,8614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,128

LCM of Fractions 984/23,128/8614 is 15744

2 984, 128
2 492, 64
2 246, 32
123, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 123 x 16 = 15744

Least Common Multiple of 984,128 with GCF Formula

Least Common Multiple of 984,128 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 984,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,128) = 8

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

GCF(984,128) x common factors =8 x 1 = 8

LCM(984,128) = ( 984 × 128 ) / 8

LCM(984,128) = 125952 / 8

LCM(984,128) = 15744


Lets's calculate GCF of 23,8614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15744/1

Therefore the LCM of Fractions 984/23,128/8614 is 15744

Greatest Common Factor of 23,8614 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,8614 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 8614

List of positive integer factors of 8614 that divides 8614 without a remainder.

1,2,59,73,118,146,4307,8614

Greatest Common Factor

We found the factors 23,8614 . The biggest common factor number is the GCF number.
So the greatest common factor 23,8614 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 984/23, 128/8614

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 984/23, 128/8614?

Answer: LCM of Numerators as per given numbers 984/23, 128/8614 is

LCM of Numerators i.e. for 984,128 is 15744

GCF of denominators i.e. for 23,8614 is 1.

Thus, LCM of Fractions is 15744.Finally, LCM of Fractions for 984/23, 128/8614 is 15744.