Least Common Multiple of 74/10, 90/90, 409/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/10, 90/90, 409/730 quickly i.e. 136197 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/10, 90/90, 409/730 is 136197.

LCM(74/10, 90/90, 409/730) = 136197

LCM of 74/10, 90/90, 409/730

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 74/10,90/90,409/730

Given numbers are 74/10,90/90,409/730

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 74,90,409

Least Common Multiple of Numerators i.e. LCM of 74,90,409 is 1361970.

GCF of Denominators means GCF of 10,90,730 as per the given fractions.

GCF of 10,90,730 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,90,409

LCM of Fractions 74/10,90/90,409/730 is 136197

2 74, 90, 409
37, 45, 409

∴ So the LCM of the given numbers is 2 x 37 x 45 x 409 = 1361970

Least Common Multiple of 74,90,409 with GCF Formula

Least Common Multiple of 74,90,409 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 74,90,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,90,409) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,90,409) x common factors =1 x 2 = 2

LCM(74,90,409) = ( 74 × 90 × 409 ) / 2

LCM(74,90,409) = 2723940 / 2

LCM(74,90,409) = 1361970


Lets's calculate GCF of 10,90,730

2 10, 90, 730
5 5, 45, 365
1, 9, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1361970/10

Therefore the LCM of Fractions 74/10,90/90,409/730 is 136197

Greatest Common Factor of 10,90,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,90,730 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 10,90,730 . The biggest common factor number is the GCF number.
So the greatest common factor 10,90,730 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 74/10, 90/90, 409/730

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 74/10, 90/90, 409/730?

Answer: LCM of Numerators as per given numbers 74/10, 90/90, 409/730 is

LCM of Numerators i.e. for 74,90,409 is 1361970

GCF of denominators i.e. for 10,90,730 is 10.

Thus, LCM of Fractions is 136197.Finally, LCM of Fractions for 74/10, 90/90, 409/730 is 136197.