Least Common Multiple of 3017/908, 1282/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3017/908, 1282/468 quickly i.e. 3867794/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3017/908, 1282/468 is 3867794/4.

LCM(3017/908, 1282/468) = 3867794/4

LCM of 3017/908, 1282/468

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 3017/908,1282/468

Given numbers are 3017/908,1282/468

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 3017,1282

Least Common Multiple of Numerators i.e. LCM of 3017,1282 is 3867794.

GCF of Denominators means GCF of 908,468 as per the given fractions.

GCF of 908,468 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3017,1282

LCM of Fractions 3017/908,1282/468 is 3867794/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 3867794

Least Common Multiple of 3017,1282 with GCF Formula

Least Common Multiple of 3017,1282 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 3017,1282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3017,1282) = 1

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

GCF(3017,1282) x common factors =1 x 1 = 1

LCM(3017,1282) = ( 3017 × 1282 ) / 1

LCM(3017,1282) = 3867794 / 1

LCM(3017,1282) = 3867794


Lets's calculate GCF of 908,468

2 908, 468
2 454, 234
227, 117

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3867794/4

Therefore the LCM of Fractions 3017/908,1282/468 is 3867794/4

Greatest Common Factor of 908,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,468 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 908,468 . The biggest common factor number is the GCF number.
So the greatest common factor 908,468 is 4.


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 3017/908, 1282/468

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 3017/908, 1282/468?

Answer: LCM of Numerators as per given numbers 3017/908, 1282/468 is

LCM of Numerators i.e. for 3017,1282 is 3867794

GCF of denominators i.e. for 908,468 is 4.

Thus, LCM of Fractions is 3867794/4.Finally, LCM of Fractions for 3017/908, 1282/468 is 3867794/4.