Least Common Multiple of 409/72, 889/7350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/72, 889/7350 quickly i.e. 363601/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/72, 889/7350 is 363601/6.

LCM(409/72, 889/7350) = 363601/6

LCM of 409/72, 889/7350

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 409/72,889/7350

Given numbers are 409/72,889/7350

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 409,889

Least Common Multiple of Numerators i.e. LCM of 409,889 is 363601.

GCF of Denominators means GCF of 72,7350 as per the given fractions.

GCF of 72,7350 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,889

LCM of Fractions 409/72,889/7350 is 363601/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 363601

Least Common Multiple of 409,889 with GCF Formula

Least Common Multiple of 409,889 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 409,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,889) = 1

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

GCF(409,889) x common factors =1 x 1 = 1

LCM(409,889) = ( 409 × 889 ) / 1

LCM(409,889) = 363601 / 1

LCM(409,889) = 363601


Lets's calculate GCF of 72,7350

2 72, 7350
3 36, 3675
12, 1225

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363601/6

Therefore the LCM of Fractions 409/72,889/7350 is 363601/6

Greatest Common Factor of 72,7350 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,7350 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350

Greatest Common Factor

We found the factors 72,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 72,7350 is 6.


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 409/72, 889/7350

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 409/72, 889/7350?

Answer: LCM of Numerators as per given numbers 409/72, 889/7350 is

LCM of Numerators i.e. for 409,889 is 363601

GCF of denominators i.e. for 72,7350 is 6.

Thus, LCM of Fractions is 363601/6.Finally, LCM of Fractions for 409/72, 889/7350 is 363601/6.