Least Common Multiple of 405/362, 2960/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/362, 2960/724 quickly i.e. 239760/362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/362, 2960/724 is 239760/362.

LCM(405/362, 2960/724) = 239760/362

LCM of 405/362, 2960/724

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 405/362,2960/724

Given numbers are 405/362,2960/724

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 405,2960

Least Common Multiple of Numerators i.e. LCM of 405,2960 is 239760.

GCF of Denominators means GCF of 362,724 as per the given fractions.

GCF of 362,724 is 362 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,2960

LCM of Fractions 405/362,2960/724 is 239760/362

5 405, 2960
81, 592

∴ So the LCM of the given numbers is 5 x 81 x 592 = 239760

Least Common Multiple of 405,2960 with GCF Formula

Least Common Multiple of 405,2960 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 405,2960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,2960) = 5

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

GCF(405,2960) x common factors =5 x 1 = 5

LCM(405,2960) = ( 405 × 2960 ) / 5

LCM(405,2960) = 1198800 / 5

LCM(405,2960) = 239760


Lets's calculate GCF of 362,724

2 362, 724
181 181, 362
1, 2

∴ So the GCF of the given numbers is 2 x 181 = 362

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239760/362

Therefore the LCM of Fractions 405/362,2960/724 is 239760/362

Greatest Common Factor of 362,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,724 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 362,724 . The biggest common factor number is the GCF number.
So the greatest common factor 362,724 is 362.


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 405/362, 2960/724

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 405/362, 2960/724?

Answer: LCM of Numerators as per given numbers 405/362, 2960/724 is

LCM of Numerators i.e. for 405,2960 is 239760

GCF of denominators i.e. for 362,724 is 362.

Thus, LCM of Fractions is 239760/362.Finally, LCM of Fractions for 405/362, 2960/724 is 239760/362.