Least Common Multiple of 806/365, 207/485, 537/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 806/365, 207/485, 537/536 quickly i.e. 29864718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 806/365, 207/485, 537/536 is 29864718.

LCM(806/365, 207/485, 537/536) = 29864718

LCM of 806/365, 207/485, 537/536

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 806/365,207/485,537/536

Given numbers are 806/365,207/485,537/536

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 806,207,537

Least Common Multiple of Numerators i.e. LCM of 806,207,537 is 29864718.

GCF of Denominators means GCF of 365,485,536 as per the given fractions.

GCF of 365,485,536 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 806,207,537

LCM of Fractions 806/365,207/485,537/536 is 29864718

3 806, 207, 537
806, 69, 179

∴ So the LCM of the given numbers is 3 x 806 x 69 x 179 = 29864718

Least Common Multiple of 806,207,537 with GCF Formula

Least Common Multiple of 806,207,537 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 806,207,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,207,537) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(806,207,537) x common factors =1 x 3 = 3

LCM(806,207,537) = ( 806 × 207 × 537 ) / 3

LCM(806,207,537) = 89594154 / 3

LCM(806,207,537) = 29864718


Lets's calculate GCF of 365,485,536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29864718/1

Therefore the LCM of Fractions 806/365,207/485,537/536 is 29864718

Greatest Common Factor of 365,485,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,485,536 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 365,485,536 . The biggest common factor number is the GCF number.
So the greatest common factor 365,485,536 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 806/365, 207/485, 537/536

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 806/365, 207/485, 537/536?

Answer: LCM of Numerators as per given numbers 806/365, 207/485, 537/536 is

LCM of Numerators i.e. for 806,207,537 is 29864718

GCF of denominators i.e. for 365,485,536 is 1.

Thus, LCM of Fractions is 29864718.Finally, LCM of Fractions for 806/365, 207/485, 537/536 is 29864718.