Least Common Multiple of 984/51, 286/12, 440/83

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/51, 286/12, 440/83 quickly i.e. 703560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/51, 286/12, 440/83 is 703560.

LCM(984/51, 286/12, 440/83) = 703560

LCM of 984/51, 286/12, 440/83

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 984/51,286/12,440/83

Given numbers are 984/51,286/12,440/83

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 984,286,440

Least Common Multiple of Numerators i.e. LCM of 984,286,440 is 703560.

GCF of Denominators means GCF of 51,12,83 as per the given fractions.

GCF of 51,12,83 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,286,440

LCM of Fractions 984/51,286/12,440/83 is 703560

2 984, 286, 440
2 492, 143, 220
2 246, 143, 110
11 123, 143, 55
123, 13, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 123 x 13 x 5 = 703560

Least Common Multiple of 984,286,440 with GCF Formula

Least Common Multiple of 984,286,440 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 984,286,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,286,440) = 2

common factors(in case of two or more numbers have common factors) = 88

GCF(984,286,440) x common factors =2 x 88 = 176

LCM(984,286,440) = ( 984 × 286 × 440 ) / 176

LCM(984,286,440) = 123826560 / 176

LCM(984,286,440) = 703560


Lets's calculate GCF of 51,12,83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 703560/1

Therefore the LCM of Fractions 984/51,286/12,440/83 is 703560

Greatest Common Factor of 51,12,83 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,12,83 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Greatest Common Factor

We found the factors 51,12,83 . The biggest common factor number is the GCF number.
So the greatest common factor 51,12,83 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 984/51, 286/12, 440/83

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 984/51, 286/12, 440/83?

Answer: LCM of Numerators as per given numbers 984/51, 286/12, 440/83 is

LCM of Numerators i.e. for 984,286,440 is 703560

GCF of denominators i.e. for 51,12,83 is 1.

Thus, LCM of Fractions is 703560.Finally, LCM of Fractions for 984/51, 286/12, 440/83 is 703560.