Least Common Multiple of 65/93, 15/84, 737/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/93, 15/84, 737/206 quickly i.e. 143715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/93, 15/84, 737/206 is 143715.

LCM(65/93, 15/84, 737/206) = 143715

LCM of 65/93, 15/84, 737/206

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 65/93,15/84,737/206

Given numbers are 65/93,15/84,737/206

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 65,15,737

Least Common Multiple of Numerators i.e. LCM of 65,15,737 is 143715.

GCF of Denominators means GCF of 93,84,206 as per the given fractions.

GCF of 93,84,206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,15,737

LCM of Fractions 65/93,15/84,737/206 is 143715

5 65, 15, 737
13, 3, 737

∴ So the LCM of the given numbers is 5 x 13 x 3 x 737 = 143715

Least Common Multiple of 65,15,737 with GCF Formula

Least Common Multiple of 65,15,737 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 65,15,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,15,737) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,15,737) x common factors =1 x 5 = 5

LCM(65,15,737) = ( 65 × 15 × 737 ) / 5

LCM(65,15,737) = 718575 / 5

LCM(65,15,737) = 143715


Lets's calculate GCF of 93,84,206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143715/1

Therefore the LCM of Fractions 65/93,15/84,737/206 is 143715

Greatest Common Factor of 93,84,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,84,206 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 93,84,206 . The biggest common factor number is the GCF number.
So the greatest common factor 93,84,206 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 65/93, 15/84, 737/206

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 65/93, 15/84, 737/206?

Answer: LCM of Numerators as per given numbers 65/93, 15/84, 737/206 is

LCM of Numerators i.e. for 65,15,737 is 143715

GCF of denominators i.e. for 93,84,206 is 1.

Thus, LCM of Fractions is 143715.Finally, LCM of Fractions for 65/93, 15/84, 737/206 is 143715.