Least Common Multiple of 19/250, 8570/1470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/250, 8570/1470 quickly i.e. 16283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/250, 8570/1470 is 16283.

LCM(19/250, 8570/1470) = 16283

LCM of 19/250, 8570/1470

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 19/250,8570/1470

Given numbers are 19/250,8570/1470

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 19,8570

Least Common Multiple of Numerators i.e. LCM of 19,8570 is 162830.

GCF of Denominators means GCF of 250,1470 as per the given fractions.

GCF of 250,1470 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,8570

LCM of Fractions 19/250,8570/1470 is 16283

Given numbers has no common factors except 1. So, there LCM is their product i.e 162830

Least Common Multiple of 19,8570 with GCF Formula

Least Common Multiple of 19,8570 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 19,8570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,8570) = 1

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

GCF(19,8570) x common factors =1 x 1 = 1

LCM(19,8570) = ( 19 × 8570 ) / 1

LCM(19,8570) = 162830 / 1

LCM(19,8570) = 162830


Lets's calculate GCF of 250,1470

2 250, 1470
5 125, 735
25, 147

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162830/10

Therefore the LCM of Fractions 19/250,8570/1470 is 16283

Greatest Common Factor of 250,1470 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,1470 By Matching Biggest Common Factor Method

Factors of 250

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

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

Factors of 1470

List of positive integer factors of 1470 that divides 1470 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470

Greatest Common Factor

We found the factors 250,1470 . The biggest common factor number is the GCF number.
So the greatest common factor 250,1470 is 10.


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 19/250, 8570/1470

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 19/250, 8570/1470?

Answer: LCM of Numerators as per given numbers 19/250, 8570/1470 is

LCM of Numerators i.e. for 19,8570 is 162830

GCF of denominators i.e. for 250,1470 is 10.

Thus, LCM of Fractions is 16283.Finally, LCM of Fractions for 19/250, 8570/1470 is 16283.