Least Common Multiple of 30/85, 709/24, 932/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/85, 709/24, 932/859 quickly i.e. 9911820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/85, 709/24, 932/859 is 9911820.

LCM(30/85, 709/24, 932/859) = 9911820

LCM of 30/85, 709/24, 932/859

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 30/85,709/24,932/859

Given numbers are 30/85,709/24,932/859

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 30,709,932

Least Common Multiple of Numerators i.e. LCM of 30,709,932 is 9911820.

GCF of Denominators means GCF of 85,24,859 as per the given fractions.

GCF of 85,24,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,709,932

LCM of Fractions 30/85,709/24,932/859 is 9911820

2 30, 709, 932
15, 709, 466

∴ So the LCM of the given numbers is 2 x 15 x 709 x 466 = 9911820

Least Common Multiple of 30,709,932 with GCF Formula

Least Common Multiple of 30,709,932 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 30,709,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,709,932) = 1

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

GCF(30,709,932) x common factors =1 x 2 = 2

LCM(30,709,932) = ( 30 × 709 × 932 ) / 2

LCM(30,709,932) = 19823640 / 2

LCM(30,709,932) = 9911820


Lets's calculate GCF of 85,24,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9911820/1

Therefore the LCM of Fractions 30/85,709/24,932/859 is 9911820

Greatest Common Factor of 85,24,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,24,859 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 85,24,859 . The biggest common factor number is the GCF number.
So the greatest common factor 85,24,859 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 30/85, 709/24, 932/859

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 30/85, 709/24, 932/859?

Answer: LCM of Numerators as per given numbers 30/85, 709/24, 932/859 is

LCM of Numerators i.e. for 30,709,932 is 9911820

GCF of denominators i.e. for 85,24,859 is 1.

Thus, LCM of Fractions is 9911820.Finally, LCM of Fractions for 30/85, 709/24, 932/859 is 9911820.