Least Common Multiple of 882/18, 480/3260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/18, 480/3260 quickly i.e. 35280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/18, 480/3260 is 35280.

LCM(882/18, 480/3260) = 35280

LCM of 882/18, 480/3260

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 882/18,480/3260

Given numbers are 882/18,480/3260

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 882,480

Least Common Multiple of Numerators i.e. LCM of 882,480 is 70560.

GCF of Denominators means GCF of 18,3260 as per the given fractions.

GCF of 18,3260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,480

LCM of Fractions 882/18,480/3260 is 35280

2 882, 480
3 441, 240
147, 80

∴ So the LCM of the given numbers is 2 x 3 x 147 x 80 = 70560

Least Common Multiple of 882,480 with GCF Formula

Least Common Multiple of 882,480 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 882,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,480) = 6

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

GCF(882,480) x common factors =6 x 1 = 6

LCM(882,480) = ( 882 × 480 ) / 6

LCM(882,480) = 423360 / 6

LCM(882,480) = 70560


Lets's calculate GCF of 18,3260

2 18, 3260
9, 1630

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70560/2

Therefore the LCM of Fractions 882/18,480/3260 is 35280

Greatest Common Factor of 18,3260 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,3260 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 3260

List of positive integer factors of 3260 that divides 3260 without a remainder.

1,2,4,5,10,20,163,326,652,815,1630,3260

Greatest Common Factor

We found the factors 18,3260 . The biggest common factor number is the GCF number.
So the greatest common factor 18,3260 is 2.


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 882/18, 480/3260

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 882/18, 480/3260?

Answer: LCM of Numerators as per given numbers 882/18, 480/3260 is

LCM of Numerators i.e. for 882,480 is 70560

GCF of denominators i.e. for 18,3260 is 2.

Thus, LCM of Fractions is 35280.Finally, LCM of Fractions for 882/18, 480/3260 is 35280.