Least Common Multiple of 82/658, 51/445, 862/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/658, 51/445, 862/612 quickly i.e. 1802442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/658, 51/445, 862/612 is 1802442.

LCM(82/658, 51/445, 862/612) = 1802442

LCM of 82/658, 51/445, 862/612

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 82/658,51/445,862/612

Given numbers are 82/658,51/445,862/612

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 82,51,862

Least Common Multiple of Numerators i.e. LCM of 82,51,862 is 1802442.

GCF of Denominators means GCF of 658,445,612 as per the given fractions.

GCF of 658,445,612 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,51,862

LCM of Fractions 82/658,51/445,862/612 is 1802442

2 82, 51, 862
41, 51, 431

∴ So the LCM of the given numbers is 2 x 41 x 51 x 431 = 1802442

Least Common Multiple of 82,51,862 with GCF Formula

Least Common Multiple of 82,51,862 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 82,51,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,51,862) = 1

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

GCF(82,51,862) x common factors =1 x 2 = 2

LCM(82,51,862) = ( 82 × 51 × 862 ) / 2

LCM(82,51,862) = 3604884 / 2

LCM(82,51,862) = 1802442


Lets's calculate GCF of 658,445,612

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1802442/1

Therefore the LCM of Fractions 82/658,51/445,862/612 is 1802442

Greatest Common Factor of 658,445,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,445,612 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 658,445,612 . The biggest common factor number is the GCF number.
So the greatest common factor 658,445,612 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 82/658, 51/445, 862/612

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 82/658, 51/445, 862/612?

Answer: LCM of Numerators as per given numbers 82/658, 51/445, 862/612 is

LCM of Numerators i.e. for 82,51,862 is 1802442

GCF of denominators i.e. for 658,445,612 is 1.

Thus, LCM of Fractions is 1802442.Finally, LCM of Fractions for 82/658, 51/445, 862/612 is 1802442.