Least Common Multiple of 782/92, 682/20, 586/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/92, 682/20, 586/170 quickly i.e. 39065983 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/92, 682/20, 586/170 is 39065983.

LCM(782/92, 682/20, 586/170) = 39065983

LCM of 782/92, 682/20, 586/170

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 782/92,682/20,586/170

Given numbers are 782/92,682/20,586/170

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 782,682,586

Least Common Multiple of Numerators i.e. LCM of 782,682,586 is 78131966.

GCF of Denominators means GCF of 92,20,170 as per the given fractions.

GCF of 92,20,170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,682,586

LCM of Fractions 782/92,682/20,586/170 is 39065983

2 782, 682, 586
391, 341, 293

∴ So the LCM of the given numbers is 2 x 391 x 341 x 293 = 78131966

Least Common Multiple of 782,682,586 with GCF Formula

Least Common Multiple of 782,682,586 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 782,682,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,682,586) = 2

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

GCF(782,682,586) x common factors =2 x 2 = 4

LCM(782,682,586) = ( 782 × 682 × 586 ) / 4

LCM(782,682,586) = 312527864 / 4

LCM(782,682,586) = 78131966


Lets's calculate GCF of 92,20,170

2 92, 20, 170
46, 10, 85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78131966/2

Therefore the LCM of Fractions 782/92,682/20,586/170 is 39065983

Greatest Common Factor of 92,20,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,20,170 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 92,20,170 . The biggest common factor number is the GCF number.
So the greatest common factor 92,20,170 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 782/92, 682/20, 586/170

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 782/92, 682/20, 586/170?

Answer: LCM of Numerators as per given numbers 782/92, 682/20, 586/170 is

LCM of Numerators i.e. for 782,682,586 is 78131966

GCF of denominators i.e. for 92,20,170 is 2.

Thus, LCM of Fractions is 39065983.Finally, LCM of Fractions for 782/92, 682/20, 586/170 is 39065983.