Least Common Multiple of 574/21, 506/30, 100/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 574/21, 506/30, 100/283 quickly i.e. 7261100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/21, 506/30, 100/283 is 7261100.

LCM(574/21, 506/30, 100/283) = 7261100

LCM of 574/21, 506/30, 100/283

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 574/21,506/30,100/283

Given numbers are 574/21,506/30,100/283

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 574,506,100

Least Common Multiple of Numerators i.e. LCM of 574,506,100 is 7261100.

GCF of Denominators means GCF of 21,30,283 as per the given fractions.

GCF of 21,30,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,506,100

LCM of Fractions 574/21,506/30,100/283 is 7261100

2 574, 506, 100
287, 253, 50

∴ So the LCM of the given numbers is 2 x 287 x 253 x 50 = 7261100

Least Common Multiple of 574,506,100 with GCF Formula

Least Common Multiple of 574,506,100 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 574,506,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,506,100) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(574,506,100) x common factors =2 x 2 = 4

LCM(574,506,100) = ( 574 × 506 × 100 ) / 4

LCM(574,506,100) = 29044400 / 4

LCM(574,506,100) = 7261100


Lets's calculate GCF of 21,30,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7261100/1

Therefore the LCM of Fractions 574/21,506/30,100/283 is 7261100

Greatest Common Factor of 21,30,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,30,283 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 21,30,283 . The biggest common factor number is the GCF number.
So the greatest common factor 21,30,283 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 574/21, 506/30, 100/283

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 574/21, 506/30, 100/283?

Answer: LCM of Numerators as per given numbers 574/21, 506/30, 100/283 is

LCM of Numerators i.e. for 574,506,100 is 7261100

GCF of denominators i.e. for 21,30,283 is 1.

Thus, LCM of Fractions is 7261100.Finally, LCM of Fractions for 574/21, 506/30, 100/283 is 7261100.