Least Common Multiple of 2435/470, 6700/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2435/470, 6700/230 quickly i.e. 326290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2435/470, 6700/230 is 326290.

LCM(2435/470, 6700/230) = 326290

LCM of 2435/470, 6700/230

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 2435/470,6700/230

Given numbers are 2435/470,6700/230

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 2435,6700

Least Common Multiple of Numerators i.e. LCM of 2435,6700 is 3262900.

GCF of Denominators means GCF of 470,230 as per the given fractions.

GCF of 470,230 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2435,6700

LCM of Fractions 2435/470,6700/230 is 326290

5 2435, 6700
487, 1340

∴ So the LCM of the given numbers is 5 x 487 x 1340 = 3262900

Least Common Multiple of 2435,6700 with GCF Formula

Least Common Multiple of 2435,6700 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 2435,6700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2435,6700) = 5

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

GCF(2435,6700) x common factors =5 x 1 = 5

LCM(2435,6700) = ( 2435 × 6700 ) / 5

LCM(2435,6700) = 16314500 / 5

LCM(2435,6700) = 3262900


Lets's calculate GCF of 470,230

2 470, 230
5 235, 115
47, 23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3262900/10

Therefore the LCM of Fractions 2435/470,6700/230 is 326290

Greatest Common Factor of 470,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,230 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 470,230 . The biggest common factor number is the GCF number.
So the greatest common factor 470,230 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 2435/470, 6700/230

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 2435/470, 6700/230?

Answer: LCM of Numerators as per given numbers 2435/470, 6700/230 is

LCM of Numerators i.e. for 2435,6700 is 3262900

GCF of denominators i.e. for 470,230 is 10.

Thus, LCM of Fractions is 326290.Finally, LCM of Fractions for 2435/470, 6700/230 is 326290.