Least Common Multiple of 65/831, 13/399, 771/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/831, 13/399, 771/624 quickly i.e. 16705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/831, 13/399, 771/624 is 16705.

LCM(65/831, 13/399, 771/624) = 16705

LCM of 65/831, 13/399, 771/624

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 65/831,13/399,771/624

Given numbers are 65/831,13/399,771/624

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 65,13,771

Least Common Multiple of Numerators i.e. LCM of 65,13,771 is 50115.

GCF of Denominators means GCF of 831,399,624 as per the given fractions.

GCF of 831,399,624 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,13,771

LCM of Fractions 65/831,13/399,771/624 is 16705

13 65, 13, 771
5, 1, 771

∴ So the LCM of the given numbers is 13 x 5 x 1 x 771 = 50115

Least Common Multiple of 65,13,771 with GCF Formula

Least Common Multiple of 65,13,771 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 65,13,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,13,771) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(65,13,771) x common factors =1 x 13 = 13

LCM(65,13,771) = ( 65 × 13 × 771 ) / 13

LCM(65,13,771) = 651495 / 13

LCM(65,13,771) = 50115


Lets's calculate GCF of 831,399,624

3 831, 399, 624
277, 133, 208

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50115/3

Therefore the LCM of Fractions 65/831,13/399,771/624 is 16705

Greatest Common Factor of 831,399,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,399,624 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 831,399,624 . The biggest common factor number is the GCF number.
So the greatest common factor 831,399,624 is 3.


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 65/831, 13/399, 771/624

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 65/831, 13/399, 771/624?

Answer: LCM of Numerators as per given numbers 65/831, 13/399, 771/624 is

LCM of Numerators i.e. for 65,13,771 is 50115

GCF of denominators i.e. for 831,399,624 is 3.

Thus, LCM of Fractions is 16705.Finally, LCM of Fractions for 65/831, 13/399, 771/624 is 16705.