Least Common Multiple of 65/697, 66/683, 616/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/697, 66/683, 616/844 quickly i.e. 120120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/697, 66/683, 616/844 is 120120.

LCM(65/697, 66/683, 616/844) = 120120

LCM of 65/697, 66/683, 616/844

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 65/697,66/683,616/844

Given numbers are 65/697,66/683,616/844

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 65,66,616

Least Common Multiple of Numerators i.e. LCM of 65,66,616 is 120120.

GCF of Denominators means GCF of 697,683,844 as per the given fractions.

GCF of 697,683,844 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,66,616

LCM of Fractions 65/697,66/683,616/844 is 120120

2 65, 66, 616
11 65, 33, 308
65, 3, 28

∴ So the LCM of the given numbers is 2 x 11 x 65 x 3 x 28 = 120120

Least Common Multiple of 65,66,616 with GCF Formula

Least Common Multiple of 65,66,616 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 65,66,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,66,616) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(65,66,616) x common factors =1 x 22 = 22

LCM(65,66,616) = ( 65 × 66 × 616 ) / 22

LCM(65,66,616) = 2642640 / 22

LCM(65,66,616) = 120120


Lets's calculate GCF of 697,683,844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120120/1

Therefore the LCM of Fractions 65/697,66/683,616/844 is 120120

Greatest Common Factor of 697,683,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,683,844 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 697,683,844 . The biggest common factor number is the GCF number.
So the greatest common factor 697,683,844 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 65/697, 66/683, 616/844

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 65/697, 66/683, 616/844?

Answer: LCM of Numerators as per given numbers 65/697, 66/683, 616/844 is

LCM of Numerators i.e. for 65,66,616 is 120120

GCF of denominators i.e. for 697,683,844 is 1.

Thus, LCM of Fractions is 120120.Finally, LCM of Fractions for 65/697, 66/683, 616/844 is 120120.