Least Common Multiple of 360/783, 784/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/783, 784/813 quickly i.e. 11760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/783, 784/813 is 11760.

LCM(360/783, 784/813) = 11760

LCM of 360/783, 784/813

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 360/783,784/813

Given numbers are 360/783,784/813

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 360,784

Least Common Multiple of Numerators i.e. LCM of 360,784 is 35280.

GCF of Denominators means GCF of 783,813 as per the given fractions.

GCF of 783,813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,784

LCM of Fractions 360/783,784/813 is 11760

2 360, 784
2 180, 392
2 90, 196
45, 98

∴ So the LCM of the given numbers is 2 x 2 x 2 x 45 x 98 = 35280

Least Common Multiple of 360,784 with GCF Formula

Least Common Multiple of 360,784 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 360,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,784) = 8

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

GCF(360,784) x common factors =8 x 1 = 8

LCM(360,784) = ( 360 × 784 ) / 8

LCM(360,784) = 282240 / 8

LCM(360,784) = 35280


Lets's calculate GCF of 783,813

3 783, 813
261, 271

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35280/3

Therefore the LCM of Fractions 360/783,784/813 is 11760

Greatest Common Factor of 783,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,813 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 783,813 . The biggest common factor number is the GCF number.
So the greatest common factor 783,813 is 3.


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 360/783, 784/813

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 360/783, 784/813?

Answer: LCM of Numerators as per given numbers 360/783, 784/813 is

LCM of Numerators i.e. for 360,784 is 35280

GCF of denominators i.e. for 783,813 is 3.

Thus, LCM of Fractions is 11760.Finally, LCM of Fractions for 360/783, 784/813 is 11760.