Least Common Multiple of 383/28, 121/72, 924/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 383/28, 121/72, 924/250 quickly i.e. 1946406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 383/28, 121/72, 924/250 is 1946406.

LCM(383/28, 121/72, 924/250) = 1946406

LCM of 383/28, 121/72, 924/250

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 383/28,121/72,924/250

Given numbers are 383/28,121/72,924/250

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 383,121,924

Least Common Multiple of Numerators i.e. LCM of 383,121,924 is 3892812.

GCF of Denominators means GCF of 28,72,250 as per the given fractions.

GCF of 28,72,250 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 383,121,924

LCM of Fractions 383/28,121/72,924/250 is 1946406

11 383, 121, 924
383, 11, 84

∴ So the LCM of the given numbers is 11 x 383 x 11 x 84 = 3892812

Least Common Multiple of 383,121,924 with GCF Formula

Least Common Multiple of 383,121,924 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 383,121,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,121,924) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(383,121,924) x common factors =1 x 11 = 11

LCM(383,121,924) = ( 383 × 121 × 924 ) / 11

LCM(383,121,924) = 42820932 / 11

LCM(383,121,924) = 3892812


Lets's calculate GCF of 28,72,250

2 28, 72, 250
14, 36, 125

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3892812/2

Therefore the LCM of Fractions 383/28,121/72,924/250 is 1946406

Greatest Common Factor of 28,72,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,72,250 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 28,72,250 . The biggest common factor number is the GCF number.
So the greatest common factor 28,72,250 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 383/28, 121/72, 924/250

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 383/28, 121/72, 924/250?

Answer: LCM of Numerators as per given numbers 383/28, 121/72, 924/250 is

LCM of Numerators i.e. for 383,121,924 is 3892812

GCF of denominators i.e. for 28,72,250 is 2.

Thus, LCM of Fractions is 1946406.Finally, LCM of Fractions for 383/28, 121/72, 924/250 is 1946406.