Least Common Multiple of 488/865, 4135/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 488/865, 4135/882 quickly i.e. 2017880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/865, 4135/882 is 2017880.

LCM(488/865, 4135/882) = 2017880

LCM of 488/865, 4135/882

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 488/865,4135/882

Given numbers are 488/865,4135/882

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 488,4135

Least Common Multiple of Numerators i.e. LCM of 488,4135 is 2017880.

GCF of Denominators means GCF of 865,882 as per the given fractions.

GCF of 865,882 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,4135

LCM of Fractions 488/865,4135/882 is 2017880

Given numbers has no common factors except 1. So, there LCM is their product i.e 2017880

Least Common Multiple of 488,4135 with GCF Formula

Least Common Multiple of 488,4135 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 488,4135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,4135) = 1

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

GCF(488,4135) x common factors =1 x 1 = 1

LCM(488,4135) = ( 488 × 4135 ) / 1

LCM(488,4135) = 2017880 / 1

LCM(488,4135) = 2017880


Lets's calculate GCF of 865,882

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2017880/1

Therefore the LCM of Fractions 488/865,4135/882 is 2017880

Greatest Common Factor of 865,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,882 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 865,882 . The biggest common factor number is the GCF number.
So the greatest common factor 865,882 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 488/865, 4135/882

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 488/865, 4135/882?

Answer: LCM of Numerators as per given numbers 488/865, 4135/882 is

LCM of Numerators i.e. for 488,4135 is 2017880

GCF of denominators i.e. for 865,882 is 1.

Thus, LCM of Fractions is 2017880.Finally, LCM of Fractions for 488/865, 4135/882 is 2017880.