Least Common Multiple of 30/58, 802/30, 311/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/58, 802/30, 311/862 quickly i.e. 1870665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/58, 802/30, 311/862 is 1870665.

LCM(30/58, 802/30, 311/862) = 1870665

LCM of 30/58, 802/30, 311/862

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 30/58,802/30,311/862

Given numbers are 30/58,802/30,311/862

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 30,802,311

Least Common Multiple of Numerators i.e. LCM of 30,802,311 is 3741330.

GCF of Denominators means GCF of 58,30,862 as per the given fractions.

GCF of 58,30,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,802,311

LCM of Fractions 30/58,802/30,311/862 is 1870665

2 30, 802, 311
15, 401, 311

∴ So the LCM of the given numbers is 2 x 15 x 401 x 311 = 3741330

Least Common Multiple of 30,802,311 with GCF Formula

Least Common Multiple of 30,802,311 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 30,802,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,802,311) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(30,802,311) x common factors =1 x 2 = 2

LCM(30,802,311) = ( 30 × 802 × 311 ) / 2

LCM(30,802,311) = 7482660 / 2

LCM(30,802,311) = 3741330


Lets's calculate GCF of 58,30,862

2 58, 30, 862
29, 15, 431

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3741330/2

Therefore the LCM of Fractions 30/58,802/30,311/862 is 1870665

Greatest Common Factor of 58,30,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,30,862 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 58,30,862 . The biggest common factor number is the GCF number.
So the greatest common factor 58,30,862 is 2.


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 30/58, 802/30, 311/862

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 30/58, 802/30, 311/862?

Answer: LCM of Numerators as per given numbers 30/58, 802/30, 311/862 is

LCM of Numerators i.e. for 30,802,311 is 3741330

GCF of denominators i.e. for 58,30,862 is 2.

Thus, LCM of Fractions is 1870665.Finally, LCM of Fractions for 30/58, 802/30, 311/862 is 1870665.