Least Common Multiple of 500/51, 985/49, 392/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/51, 985/49, 392/984 quickly i.e. 9653000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/51, 985/49, 392/984 is 9653000.

LCM(500/51, 985/49, 392/984) = 9653000

LCM of 500/51, 985/49, 392/984

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 500/51,985/49,392/984

Given numbers are 500/51,985/49,392/984

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 500,985,392

Least Common Multiple of Numerators i.e. LCM of 500,985,392 is 9653000.

GCF of Denominators means GCF of 51,49,984 as per the given fractions.

GCF of 51,49,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,985,392

LCM of Fractions 500/51,985/49,392/984 is 9653000

2 500, 985, 392
2 250, 985, 196
5 125, 985, 98
25, 197, 98

∴ So the LCM of the given numbers is 2 x 2 x 5 x 25 x 197 x 98 = 9653000

Least Common Multiple of 500,985,392 with GCF Formula

Least Common Multiple of 500,985,392 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 500,985,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,985,392) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(500,985,392) x common factors =1 x 20 = 20

LCM(500,985,392) = ( 500 × 985 × 392 ) / 20

LCM(500,985,392) = 193060000 / 20

LCM(500,985,392) = 9653000


Lets's calculate GCF of 51,49,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9653000/1

Therefore the LCM of Fractions 500/51,985/49,392/984 is 9653000

Greatest Common Factor of 51,49,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,49,984 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 51,49,984 . The biggest common factor number is the GCF number.
So the greatest common factor 51,49,984 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 500/51, 985/49, 392/984

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 500/51, 985/49, 392/984?

Answer: LCM of Numerators as per given numbers 500/51, 985/49, 392/984 is

LCM of Numerators i.e. for 500,985,392 is 9653000

GCF of denominators i.e. for 51,49,984 is 1.

Thus, LCM of Fractions is 9653000.Finally, LCM of Fractions for 500/51, 985/49, 392/984 is 9653000.