Least Common Multiple of 74/208, 18/143, 549/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/208, 18/143, 549/488 quickly i.e. 40626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/208, 18/143, 549/488 is 40626.

LCM(74/208, 18/143, 549/488) = 40626

LCM of 74/208, 18/143, 549/488

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 74/208,18/143,549/488

Given numbers are 74/208,18/143,549/488

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 74,18,549

Least Common Multiple of Numerators i.e. LCM of 74,18,549 is 40626.

GCF of Denominators means GCF of 208,143,488 as per the given fractions.

GCF of 208,143,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,18,549

LCM of Fractions 74/208,18/143,549/488 is 40626

2 74, 18, 549
3 37, 9, 549
3 37, 3, 183
37, 1, 61

∴ So the LCM of the given numbers is 2 x 3 x 3 x 37 x 1 x 61 = 40626

Least Common Multiple of 74,18,549 with GCF Formula

Least Common Multiple of 74,18,549 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 74,18,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,18,549) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(74,18,549) x common factors =1 x 18 = 18

LCM(74,18,549) = ( 74 × 18 × 549 ) / 18

LCM(74,18,549) = 731268 / 18

LCM(74,18,549) = 40626


Lets's calculate GCF of 208,143,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40626/1

Therefore the LCM of Fractions 74/208,18/143,549/488 is 40626

Greatest Common Factor of 208,143,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,143,488 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 208,143,488 . The biggest common factor number is the GCF number.
So the greatest common factor 208,143,488 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 74/208, 18/143, 549/488

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 74/208, 18/143, 549/488?

Answer: LCM of Numerators as per given numbers 74/208, 18/143, 549/488 is

LCM of Numerators i.e. for 74,18,549 is 40626

GCF of denominators i.e. for 208,143,488 is 1.

Thus, LCM of Fractions is 40626.Finally, LCM of Fractions for 74/208, 18/143, 549/488 is 40626.