Least Common Multiple of 500/150, 624/480, 292/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/150, 624/480, 292/983 quickly i.e. 5694000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/150, 624/480, 292/983 is 5694000.

LCM(500/150, 624/480, 292/983) = 5694000

LCM of 500/150, 624/480, 292/983

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 500/150,624/480,292/983

Given numbers are 500/150,624/480,292/983

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 500,624,292

Least Common Multiple of Numerators i.e. LCM of 500,624,292 is 5694000.

GCF of Denominators means GCF of 150,480,983 as per the given fractions.

GCF of 150,480,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,624,292

LCM of Fractions 500/150,624/480,292/983 is 5694000

2 500, 624, 292
2 250, 312, 146
125, 156, 73

∴ So the LCM of the given numbers is 2 x 2 x 125 x 156 x 73 = 5694000

Least Common Multiple of 500,624,292 with GCF Formula

Least Common Multiple of 500,624,292 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 500,624,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,624,292) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(500,624,292) x common factors =4 x 4 = 16

LCM(500,624,292) = ( 500 × 624 × 292 ) / 16

LCM(500,624,292) = 91104000 / 16

LCM(500,624,292) = 5694000


Lets's calculate GCF of 150,480,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5694000/1

Therefore the LCM of Fractions 500/150,624/480,292/983 is 5694000

Greatest Common Factor of 150,480,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,480,983 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 150,480,983 . The biggest common factor number is the GCF number.
So the greatest common factor 150,480,983 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 500/150, 624/480, 292/983

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 500/150, 624/480, 292/983?

Answer: LCM of Numerators as per given numbers 500/150, 624/480, 292/983 is

LCM of Numerators i.e. for 500,624,292 is 5694000

GCF of denominators i.e. for 150,480,983 is 1.

Thus, LCM of Fractions is 5694000.Finally, LCM of Fractions for 500/150, 624/480, 292/983 is 5694000.