Least Common Multiple of 74/581, 51/836, 252/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/581, 51/836, 252/499 quickly i.e. 158508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/581, 51/836, 252/499 is 158508.

LCM(74/581, 51/836, 252/499) = 158508

LCM of 74/581, 51/836, 252/499

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 74/581,51/836,252/499

Given numbers are 74/581,51/836,252/499

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 74,51,252

Least Common Multiple of Numerators i.e. LCM of 74,51,252 is 158508.

GCF of Denominators means GCF of 581,836,499 as per the given fractions.

GCF of 581,836,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,51,252

LCM of Fractions 74/581,51/836,252/499 is 158508

2 74, 51, 252
3 37, 51, 126
37, 17, 42

∴ So the LCM of the given numbers is 2 x 3 x 37 x 17 x 42 = 158508

Least Common Multiple of 74,51,252 with GCF Formula

Least Common Multiple of 74,51,252 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 74,51,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,51,252) = 1

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

GCF(74,51,252) x common factors =1 x 6 = 6

LCM(74,51,252) = ( 74 × 51 × 252 ) / 6

LCM(74,51,252) = 951048 / 6

LCM(74,51,252) = 158508


Lets's calculate GCF of 581,836,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158508/1

Therefore the LCM of Fractions 74/581,51/836,252/499 is 158508

Greatest Common Factor of 581,836,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,836,499 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 499

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

1,499

Greatest Common Factor

We found the factors 581,836,499 . The biggest common factor number is the GCF number.
So the greatest common factor 581,836,499 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 74/581, 51/836, 252/499

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 74/581, 51/836, 252/499?

Answer: LCM of Numerators as per given numbers 74/581, 51/836, 252/499 is

LCM of Numerators i.e. for 74,51,252 is 158508

GCF of denominators i.e. for 581,836,499 is 1.

Thus, LCM of Fractions is 158508.Finally, LCM of Fractions for 74/581, 51/836, 252/499 is 158508.