Least Common Multiple of 675/250, 2429/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 675/250, 2429/499 quickly i.e. 1639575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/250, 2429/499 is 1639575.

LCM(675/250, 2429/499) = 1639575

LCM of 675/250, 2429/499

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 675/250,2429/499

Given numbers are 675/250,2429/499

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 675,2429

Least Common Multiple of Numerators i.e. LCM of 675,2429 is 1639575.

GCF of Denominators means GCF of 250,499 as per the given fractions.

GCF of 250,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,2429

LCM of Fractions 675/250,2429/499 is 1639575

Given numbers has no common factors except 1. So, there LCM is their product i.e 1639575

Least Common Multiple of 675,2429 with GCF Formula

Least Common Multiple of 675,2429 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 675,2429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,2429) = 1

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

GCF(675,2429) x common factors =1 x 1 = 1

LCM(675,2429) = ( 675 × 2429 ) / 1

LCM(675,2429) = 1639575 / 1

LCM(675,2429) = 1639575


Lets's calculate GCF of 250,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1639575/1

Therefore the LCM of Fractions 675/250,2429/499 is 1639575

Greatest Common Factor of 250,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,499 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 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 250,499 . The biggest common factor number is the GCF number.
So the greatest common factor 250,499 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 675/250, 2429/499

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 675/250, 2429/499?

Answer: LCM of Numerators as per given numbers 675/250, 2429/499 is

LCM of Numerators i.e. for 675,2429 is 1639575

GCF of denominators i.e. for 250,499 is 1.

Thus, LCM of Fractions is 1639575.Finally, LCM of Fractions for 675/250, 2429/499 is 1639575.