Least Common Multiple of 984/44, 112/75, 283/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/44, 112/75, 283/134 quickly i.e. 3898608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/44, 112/75, 283/134 is 3898608.

LCM(984/44, 112/75, 283/134) = 3898608

LCM of 984/44, 112/75, 283/134

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 984/44,112/75,283/134

Given numbers are 984/44,112/75,283/134

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 984,112,283

Least Common Multiple of Numerators i.e. LCM of 984,112,283 is 3898608.

GCF of Denominators means GCF of 44,75,134 as per the given fractions.

GCF of 44,75,134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,112,283

LCM of Fractions 984/44,112/75,283/134 is 3898608

2 984, 112, 283
2 492, 56, 283
2 246, 28, 283
123, 14, 283

∴ So the LCM of the given numbers is 2 x 2 x 2 x 123 x 14 x 283 = 3898608

Least Common Multiple of 984,112,283 with GCF Formula

Least Common Multiple of 984,112,283 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 984,112,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,112,283) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(984,112,283) x common factors =1 x 8 = 8

LCM(984,112,283) = ( 984 × 112 × 283 ) / 8

LCM(984,112,283) = 31188864 / 8

LCM(984,112,283) = 3898608


Lets's calculate GCF of 44,75,134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3898608/1

Therefore the LCM of Fractions 984/44,112/75,283/134 is 3898608

Greatest Common Factor of 44,75,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,75,134 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 44,75,134 . The biggest common factor number is the GCF number.
So the greatest common factor 44,75,134 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 984/44, 112/75, 283/134

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 984/44, 112/75, 283/134?

Answer: LCM of Numerators as per given numbers 984/44, 112/75, 283/134 is

LCM of Numerators i.e. for 984,112,283 is 3898608

GCF of denominators i.e. for 44,75,134 is 1.

Thus, LCM of Fractions is 3898608.Finally, LCM of Fractions for 984/44, 112/75, 283/134 is 3898608.