Least Common Multiple of 74/499, 21/386, 534/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/499, 21/386, 534/108 quickly i.e. 138306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/499, 21/386, 534/108 is 138306.

LCM(74/499, 21/386, 534/108) = 138306

LCM of 74/499, 21/386, 534/108

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 74/499,21/386,534/108

Given numbers are 74/499,21/386,534/108

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 74,21,534

Least Common Multiple of Numerators i.e. LCM of 74,21,534 is 138306.

GCF of Denominators means GCF of 499,386,108 as per the given fractions.

GCF of 499,386,108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,21,534

LCM of Fractions 74/499,21/386,534/108 is 138306

2 74, 21, 534
3 37, 21, 267
37, 7, 89

∴ So the LCM of the given numbers is 2 x 3 x 37 x 7 x 89 = 138306

Least Common Multiple of 74,21,534 with GCF Formula

Least Common Multiple of 74,21,534 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 74,21,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,21,534) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(74,21,534) x common factors =1 x 6 = 6

LCM(74,21,534) = ( 74 × 21 × 534 ) / 6

LCM(74,21,534) = 829836 / 6

LCM(74,21,534) = 138306


Lets's calculate GCF of 499,386,108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138306/1

Therefore the LCM of Fractions 74/499,21/386,534/108 is 138306

Greatest Common Factor of 499,386,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,386,108 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 499,386,108 . The biggest common factor number is the GCF number.
So the greatest common factor 499,386,108 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 74/499, 21/386, 534/108

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 74/499, 21/386, 534/108?

Answer: LCM of Numerators as per given numbers 74/499, 21/386, 534/108 is

LCM of Numerators i.e. for 74,21,534 is 138306

GCF of denominators i.e. for 499,386,108 is 1.

Thus, LCM of Fractions is 138306.Finally, LCM of Fractions for 74/499, 21/386, 534/108 is 138306.