Least Common Multiple of 365/83, 480/1068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 365/83, 480/1068 quickly i.e. 35040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 365/83, 480/1068 is 35040.

LCM(365/83, 480/1068) = 35040

LCM of 365/83, 480/1068

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 365/83,480/1068

Given numbers are 365/83,480/1068

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 365,480

Least Common Multiple of Numerators i.e. LCM of 365,480 is 35040.

GCF of Denominators means GCF of 83,1068 as per the given fractions.

GCF of 83,1068 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 365,480

LCM of Fractions 365/83,480/1068 is 35040

5 365, 480
73, 96

∴ So the LCM of the given numbers is 5 x 73 x 96 = 35040

Least Common Multiple of 365,480 with GCF Formula

Least Common Multiple of 365,480 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 365,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,480) = 5

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

GCF(365,480) x common factors =5 x 1 = 5

LCM(365,480) = ( 365 × 480 ) / 5

LCM(365,480) = 175200 / 5

LCM(365,480) = 35040


Lets's calculate GCF of 83,1068

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35040/1

Therefore the LCM of Fractions 365/83,480/1068 is 35040

Greatest Common Factor of 83,1068 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,1068 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 1068

List of positive integer factors of 1068 that divides 1068 without a remainder.

1,2,3,4,6,12,89,178,267,356,534,1068

Greatest Common Factor

We found the factors 83,1068 . The biggest common factor number is the GCF number.
So the greatest common factor 83,1068 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 365/83, 480/1068

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 365/83, 480/1068?

Answer: LCM of Numerators as per given numbers 365/83, 480/1068 is

LCM of Numerators i.e. for 365,480 is 35040

GCF of denominators i.e. for 83,1068 is 1.

Thus, LCM of Fractions is 35040.Finally, LCM of Fractions for 365/83, 480/1068 is 35040.