Least Common Multiple of 73/499, 705/550, 310/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/499, 705/550, 310/829 quickly i.e. 3190830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/499, 705/550, 310/829 is 3190830.

LCM(73/499, 705/550, 310/829) = 3190830

LCM of 73/499, 705/550, 310/829

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 73/499,705/550,310/829

Given numbers are 73/499,705/550,310/829

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 73,705,310

Least Common Multiple of Numerators i.e. LCM of 73,705,310 is 3190830.

GCF of Denominators means GCF of 499,550,829 as per the given fractions.

GCF of 499,550,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,705,310

LCM of Fractions 73/499,705/550,310/829 is 3190830

5 73, 705, 310
73, 141, 62

∴ So the LCM of the given numbers is 5 x 73 x 141 x 62 = 3190830

Least Common Multiple of 73,705,310 with GCF Formula

Least Common Multiple of 73,705,310 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 73,705,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,705,310) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(73,705,310) x common factors =1 x 5 = 5

LCM(73,705,310) = ( 73 × 705 × 310 ) / 5

LCM(73,705,310) = 15954150 / 5

LCM(73,705,310) = 3190830


Lets's calculate GCF of 499,550,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3190830/1

Therefore the LCM of Fractions 73/499,705/550,310/829 is 3190830

Greatest Common Factor of 499,550,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,550,829 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 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 499,550,829 . The biggest common factor number is the GCF number.
So the greatest common factor 499,550,829 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 73/499, 705/550, 310/829

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 73/499, 705/550, 310/829?

Answer: LCM of Numerators as per given numbers 73/499, 705/550, 310/829 is

LCM of Numerators i.e. for 73,705,310 is 3190830

GCF of denominators i.e. for 499,550,829 is 1.

Thus, LCM of Fractions is 3190830.Finally, LCM of Fractions for 73/499, 705/550, 310/829 is 3190830.