Least Common Multiple of 65/82, 42/35, 77/26, 17/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/82, 42/35, 77/26, 17/685 quickly i.e. 510510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/82, 42/35, 77/26, 17/685 is 510510.

LCM(65/82, 42/35, 77/26, 17/685) = 510510

LCM of 65/82, 42/35, 77/26, 17/685

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 65/82,42/35,77/26,17/685

Given numbers are 65/82,42/35,77/26,17/685

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 65,42,77,17

Least Common Multiple of Numerators i.e. LCM of 65,42,77,17 is 510510.

GCF of Denominators means GCF of 82,35,26,685 as per the given fractions.

GCF of 82,35,26,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,42,77,17

LCM of Fractions 65/82,42/35,77/26,17/685 is 510510

7 65, 42, 77, 17
65, 6, 11, 17

∴ So the LCM of the given numbers is 7 x 65 x 6 x 11 x 17 = 510510

Least Common Multiple of 65,42,77,17 with GCF Formula

Least Common Multiple of 65,42,77,17 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 65,42,77,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,42,77,17) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(65,42,77,17) x common factors =1 x 7 = 7

LCM(65,42,77,17) = ( 65 × 42 × 77 × 17 ) / 7

LCM(65,42,77,17) = 3573570 / 7

LCM(65,42,77,17) = 510510


Lets's calculate GCF of 82,35,26,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510510/1

Therefore the LCM of Fractions 65/82,42/35,77/26,17/685 is 510510

Greatest Common Factor of 82,35,26,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,35,26,685 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 82,35,26,685 . The biggest common factor number is the GCF number.
So the greatest common factor 82,35,26,685 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 65/82, 42/35, 77/26, 17/685

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 65/82, 42/35, 77/26, 17/685?

Answer: LCM of Numerators as per given numbers 65/82, 42/35, 77/26, 17/685 is

LCM of Numerators i.e. for 65,42,77,17 is 510510

GCF of denominators i.e. for 82,35,26,685 is 1.

Thus, LCM of Fractions is 510510.Finally, LCM of Fractions for 65/82, 42/35, 77/26, 17/685 is 510510.