Least Common Multiple of 19/280, 28/600, 933/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/280, 28/600, 933/157 quickly i.e. 496356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/280, 28/600, 933/157 is 496356.

LCM(19/280, 28/600, 933/157) = 496356

LCM of 19/280, 28/600, 933/157

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 19/280,28/600,933/157

Given numbers are 19/280,28/600,933/157

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 19,28,933

Least Common Multiple of Numerators i.e. LCM of 19,28,933 is 496356.

GCF of Denominators means GCF of 280,600,157 as per the given fractions.

GCF of 280,600,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,28,933

LCM of Fractions 19/280,28/600,933/157 is 496356

Given numbers has no common factors except 1. So, there LCM is their product i.e 496356

Least Common Multiple of 19,28,933 with GCF Formula

Least Common Multiple of 19,28,933 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 19,28,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,28,933) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(19,28,933) x common factors =1 x 1 = 1

LCM(19,28,933) = ( 19 × 28 × 933 ) / 1

LCM(19,28,933) = 496356 / 1

LCM(19,28,933) = 496356


Lets's calculate GCF of 280,600,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496356/1

Therefore the LCM of Fractions 19/280,28/600,933/157 is 496356

Greatest Common Factor of 280,600,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,600,157 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 280,600,157 . The biggest common factor number is the GCF number.
So the greatest common factor 280,600,157 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 19/280, 28/600, 933/157

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 19/280, 28/600, 933/157?

Answer: LCM of Numerators as per given numbers 19/280, 28/600, 933/157 is

LCM of Numerators i.e. for 19,28,933 is 496356

GCF of denominators i.e. for 280,600,157 is 1.

Thus, LCM of Fractions is 496356.Finally, LCM of Fractions for 19/280, 28/600, 933/157 is 496356.