Least Common Multiple of 409/687, 730/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/687, 730/748 quickly i.e. 298570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/687, 730/748 is 298570.

LCM(409/687, 730/748) = 298570

LCM of 409/687, 730/748

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 409/687,730/748

Given numbers are 409/687,730/748

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 409,730

Least Common Multiple of Numerators i.e. LCM of 409,730 is 298570.

GCF of Denominators means GCF of 687,748 as per the given fractions.

GCF of 687,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,730

LCM of Fractions 409/687,730/748 is 298570

Given numbers has no common factors except 1. So, there LCM is their product i.e 298570

Least Common Multiple of 409,730 with GCF Formula

Least Common Multiple of 409,730 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 409,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,730) = 1

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

GCF(409,730) x common factors =1 x 1 = 1

LCM(409,730) = ( 409 × 730 ) / 1

LCM(409,730) = 298570 / 1

LCM(409,730) = 298570


Lets's calculate GCF of 687,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298570/1

Therefore the LCM of Fractions 409/687,730/748 is 298570

Greatest Common Factor of 687,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,748 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 687,748 . The biggest common factor number is the GCF number.
So the greatest common factor 687,748 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 409/687, 730/748

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 409/687, 730/748?

Answer: LCM of Numerators as per given numbers 409/687, 730/748 is

LCM of Numerators i.e. for 409,730 is 298570

GCF of denominators i.e. for 687,748 is 1.

Thus, LCM of Fractions is 298570.Finally, LCM of Fractions for 409/687, 730/748 is 298570.