Least Common Multiple of 470/688, 7321/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 470/688, 7321/449 quickly i.e. 3440870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/688, 7321/449 is 3440870.

LCM(470/688, 7321/449) = 3440870

LCM of 470/688, 7321/449

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 470/688,7321/449

Given numbers are 470/688,7321/449

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 470,7321

Least Common Multiple of Numerators i.e. LCM of 470,7321 is 3440870.

GCF of Denominators means GCF of 688,449 as per the given fractions.

GCF of 688,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,7321

LCM of Fractions 470/688,7321/449 is 3440870

Given numbers has no common factors except 1. So, there LCM is their product i.e 3440870

Least Common Multiple of 470,7321 with GCF Formula

Least Common Multiple of 470,7321 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 470,7321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,7321) = 1

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

GCF(470,7321) x common factors =1 x 1 = 1

LCM(470,7321) = ( 470 × 7321 ) / 1

LCM(470,7321) = 3440870 / 1

LCM(470,7321) = 3440870


Lets's calculate GCF of 688,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3440870/1

Therefore the LCM of Fractions 470/688,7321/449 is 3440870

Greatest Common Factor of 688,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,449 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 688,449 . The biggest common factor number is the GCF number.
So the greatest common factor 688,449 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 470/688, 7321/449

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 470/688, 7321/449?

Answer: LCM of Numerators as per given numbers 470/688, 7321/449 is

LCM of Numerators i.e. for 470,7321 is 3440870

GCF of denominators i.e. for 688,449 is 1.

Thus, LCM of Fractions is 3440870.Finally, LCM of Fractions for 470/688, 7321/449 is 3440870.