Least Common Multiple of 65/84, 829/42, 731/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/84, 829/42, 731/760 quickly i.e. 39389935/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/84, 829/42, 731/760 is 39389935/2.

LCM(65/84, 829/42, 731/760) = 39389935/2

LCM of 65/84, 829/42, 731/760

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 65/84,829/42,731/760

Given numbers are 65/84,829/42,731/760

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 65,829,731

Least Common Multiple of Numerators i.e. LCM of 65,829,731 is 39389935.

GCF of Denominators means GCF of 84,42,760 as per the given fractions.

GCF of 84,42,760 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,829,731

LCM of Fractions 65/84,829/42,731/760 is 39389935/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 39389935

Least Common Multiple of 65,829,731 with GCF Formula

Least Common Multiple of 65,829,731 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 65,829,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,829,731) = 1

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

GCF(65,829,731) x common factors =1 x 1 = 1

LCM(65,829,731) = ( 65 × 829 × 731 ) / 1

LCM(65,829,731) = 39389935 / 1

LCM(65,829,731) = 39389935


Lets's calculate GCF of 84,42,760

2 84, 42, 760
42, 21, 380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39389935/2

Therefore the LCM of Fractions 65/84,829/42,731/760 is 39389935/2

Greatest Common Factor of 84,42,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,42,760 By Matching Biggest Common Factor Method

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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 84,42,760 . The biggest common factor number is the GCF number.
So the greatest common factor 84,42,760 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 65/84, 829/42, 731/760

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 65/84, 829/42, 731/760?

Answer: LCM of Numerators as per given numbers 65/84, 829/42, 731/760 is

LCM of Numerators i.e. for 65,829,731 is 39389935

GCF of denominators i.e. for 84,42,760 is 2.

Thus, LCM of Fractions is 39389935/2.Finally, LCM of Fractions for 65/84, 829/42, 731/760 is 39389935/2.