Least Common Multiple of 82/830, 48/189, 885/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/830, 48/189, 885/870 quickly i.e. 580560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/830, 48/189, 885/870 is 580560.

LCM(82/830, 48/189, 885/870) = 580560

LCM of 82/830, 48/189, 885/870

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 82/830,48/189,885/870

Given numbers are 82/830,48/189,885/870

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 82,48,885

Least Common Multiple of Numerators i.e. LCM of 82,48,885 is 580560.

GCF of Denominators means GCF of 830,189,870 as per the given fractions.

GCF of 830,189,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,48,885

LCM of Fractions 82/830,48/189,885/870 is 580560

2 82, 48, 885
3 41, 24, 885
41, 8, 295

∴ So the LCM of the given numbers is 2 x 3 x 41 x 8 x 295 = 580560

Least Common Multiple of 82,48,885 with GCF Formula

Least Common Multiple of 82,48,885 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 82,48,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,48,885) = 1

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

GCF(82,48,885) x common factors =1 x 6 = 6

LCM(82,48,885) = ( 82 × 48 × 885 ) / 6

LCM(82,48,885) = 3483360 / 6

LCM(82,48,885) = 580560


Lets's calculate GCF of 830,189,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580560/1

Therefore the LCM of Fractions 82/830,48/189,885/870 is 580560

Greatest Common Factor of 830,189,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,189,870 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 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 830,189,870 . The biggest common factor number is the GCF number.
So the greatest common factor 830,189,870 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 82/830, 48/189, 885/870

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 82/830, 48/189, 885/870?

Answer: LCM of Numerators as per given numbers 82/830, 48/189, 885/870 is

LCM of Numerators i.e. for 82,48,885 is 580560

GCF of denominators i.e. for 830,189,870 is 1.

Thus, LCM of Fractions is 580560.Finally, LCM of Fractions for 82/830, 48/189, 885/870 is 580560.