Least Common Multiple of 85/306, 59/418, 842/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/306, 59/418, 842/726 quickly i.e. 2111315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/306, 59/418, 842/726 is 2111315.

LCM(85/306, 59/418, 842/726) = 2111315

LCM of 85/306, 59/418, 842/726

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 85/306,59/418,842/726

Given numbers are 85/306,59/418,842/726

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 85,59,842

Least Common Multiple of Numerators i.e. LCM of 85,59,842 is 4222630.

GCF of Denominators means GCF of 306,418,726 as per the given fractions.

GCF of 306,418,726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,59,842

LCM of Fractions 85/306,59/418,842/726 is 2111315

Given numbers has no common factors except 1. So, there LCM is their product i.e 4222630

Least Common Multiple of 85,59,842 with GCF Formula

Least Common Multiple of 85,59,842 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 85,59,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,59,842) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(85,59,842) x common factors =1 x 1 = 1

LCM(85,59,842) = ( 85 × 59 × 842 ) / 1

LCM(85,59,842) = 4222630 / 1

LCM(85,59,842) = 4222630


Lets's calculate GCF of 306,418,726

2 306, 418, 726
153, 209, 363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4222630/2

Therefore the LCM of Fractions 85/306,59/418,842/726 is 2111315

Greatest Common Factor of 306,418,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,418,726 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 306,418,726 . The biggest common factor number is the GCF number.
So the greatest common factor 306,418,726 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 85/306, 59/418, 842/726

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 85/306, 59/418, 842/726?

Answer: LCM of Numerators as per given numbers 85/306, 59/418, 842/726 is

LCM of Numerators i.e. for 85,59,842 is 4222630

GCF of denominators i.e. for 306,418,726 is 2.

Thus, LCM of Fractions is 2111315.Finally, LCM of Fractions for 85/306, 59/418, 842/726 is 2111315.