Least Common Multiple of 30/830, 81/503, 742/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/830, 81/503, 742/578 quickly i.e. 300510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/830, 81/503, 742/578 is 300510.

LCM(30/830, 81/503, 742/578) = 300510

LCM of 30/830, 81/503, 742/578

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 30/830,81/503,742/578

Given numbers are 30/830,81/503,742/578

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 30,81,742

Least Common Multiple of Numerators i.e. LCM of 30,81,742 is 300510.

GCF of Denominators means GCF of 830,503,578 as per the given fractions.

GCF of 830,503,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,81,742

LCM of Fractions 30/830,81/503,742/578 is 300510

2 30, 81, 742
3 15, 81, 371
5, 27, 371

∴ So the LCM of the given numbers is 2 x 3 x 5 x 27 x 371 = 300510

Least Common Multiple of 30,81,742 with GCF Formula

Least Common Multiple of 30,81,742 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 30,81,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,81,742) = 1

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

GCF(30,81,742) x common factors =1 x 6 = 6

LCM(30,81,742) = ( 30 × 81 × 742 ) / 6

LCM(30,81,742) = 1803060 / 6

LCM(30,81,742) = 300510


Lets's calculate GCF of 830,503,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300510/1

Therefore the LCM of Fractions 30/830,81/503,742/578 is 300510

Greatest Common Factor of 830,503,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,503,578 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 830,503,578 . The biggest common factor number is the GCF number.
So the greatest common factor 830,503,578 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 30/830, 81/503, 742/578

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 30/830, 81/503, 742/578?

Answer: LCM of Numerators as per given numbers 30/830, 81/503, 742/578 is

LCM of Numerators i.e. for 30,81,742 is 300510

GCF of denominators i.e. for 830,503,578 is 1.

Thus, LCM of Fractions is 300510.Finally, LCM of Fractions for 30/830, 81/503, 742/578 is 300510.