Least Common Multiple of 82/299, 29/382, 780/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/299, 29/382, 780/858 quickly i.e. 927420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/299, 29/382, 780/858 is 927420.

LCM(82/299, 29/382, 780/858) = 927420

LCM of 82/299, 29/382, 780/858

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 82/299,29/382,780/858

Given numbers are 82/299,29/382,780/858

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 82,29,780

Least Common Multiple of Numerators i.e. LCM of 82,29,780 is 927420.

GCF of Denominators means GCF of 299,382,858 as per the given fractions.

GCF of 299,382,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,29,780

LCM of Fractions 82/299,29/382,780/858 is 927420

2 82, 29, 780
41, 29, 390

∴ So the LCM of the given numbers is 2 x 41 x 29 x 390 = 927420

Least Common Multiple of 82,29,780 with GCF Formula

Least Common Multiple of 82,29,780 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 82,29,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,29,780) = 1

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

GCF(82,29,780) x common factors =1 x 2 = 2

LCM(82,29,780) = ( 82 × 29 × 780 ) / 2

LCM(82,29,780) = 1854840 / 2

LCM(82,29,780) = 927420


Lets's calculate GCF of 299,382,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 927420/1

Therefore the LCM of Fractions 82/299,29/382,780/858 is 927420

Greatest Common Factor of 299,382,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,382,858 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 299,382,858 . The biggest common factor number is the GCF number.
So the greatest common factor 299,382,858 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 82/299, 29/382, 780/858

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 82/299, 29/382, 780/858?

Answer: LCM of Numerators as per given numbers 82/299, 29/382, 780/858 is

LCM of Numerators i.e. for 82,29,780 is 927420

GCF of denominators i.e. for 299,382,858 is 1.

Thus, LCM of Fractions is 927420.Finally, LCM of Fractions for 82/299, 29/382, 780/858 is 927420.