Least Common Multiple of 459/250, 3496/4090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/250, 3496/4090 quickly i.e. 1604664/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/250, 3496/4090 is 1604664/10.

LCM(459/250, 3496/4090) = 1604664/10

LCM of 459/250, 3496/4090

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 459/250,3496/4090

Given numbers are 459/250,3496/4090

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 459,3496

Least Common Multiple of Numerators i.e. LCM of 459,3496 is 1604664.

GCF of Denominators means GCF of 250,4090 as per the given fractions.

GCF of 250,4090 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,3496

LCM of Fractions 459/250,3496/4090 is 1604664/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 1604664

Least Common Multiple of 459,3496 with GCF Formula

Least Common Multiple of 459,3496 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 459,3496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,3496) = 1

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

GCF(459,3496) x common factors =1 x 1 = 1

LCM(459,3496) = ( 459 × 3496 ) / 1

LCM(459,3496) = 1604664 / 1

LCM(459,3496) = 1604664


Lets's calculate GCF of 250,4090

2 250, 4090
5 125, 2045
25, 409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1604664/10

Therefore the LCM of Fractions 459/250,3496/4090 is 1604664/10

Greatest Common Factor of 250,4090 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,4090 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 4090

List of positive integer factors of 4090 that divides 4090 without a remainder.

1,2,5,10,409,818,2045,4090

Greatest Common Factor

We found the factors 250,4090 . The biggest common factor number is the GCF number.
So the greatest common factor 250,4090 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 459/250, 3496/4090

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 459/250, 3496/4090?

Answer: LCM of Numerators as per given numbers 459/250, 3496/4090 is

LCM of Numerators i.e. for 459,3496 is 1604664

GCF of denominators i.e. for 250,4090 is 10.

Thus, LCM of Fractions is 1604664/10.Finally, LCM of Fractions for 459/250, 3496/4090 is 1604664/10.