Least Common Multiple of 65/69, 51/69, 983/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/69, 51/69, 983/755 quickly i.e. 3258645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/69, 51/69, 983/755 is 3258645.

LCM(65/69, 51/69, 983/755) = 3258645

LCM of 65/69, 51/69, 983/755

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 65/69,51/69,983/755

Given numbers are 65/69,51/69,983/755

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 65,51,983

Least Common Multiple of Numerators i.e. LCM of 65,51,983 is 3258645.

GCF of Denominators means GCF of 69,69,755 as per the given fractions.

GCF of 69,69,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,51,983

LCM of Fractions 65/69,51/69,983/755 is 3258645

Given numbers has no common factors except 1. So, there LCM is their product i.e 3258645

Least Common Multiple of 65,51,983 with GCF Formula

Least Common Multiple of 65,51,983 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 65,51,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,51,983) = 1

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

GCF(65,51,983) x common factors =1 x 1 = 1

LCM(65,51,983) = ( 65 × 51 × 983 ) / 1

LCM(65,51,983) = 3258645 / 1

LCM(65,51,983) = 3258645


Lets's calculate GCF of 69,69,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3258645/1

Therefore the LCM of Fractions 65/69,51/69,983/755 is 3258645

Greatest Common Factor of 69,69,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,69,755 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 69,69,755 . The biggest common factor number is the GCF number.
So the greatest common factor 69,69,755 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 65/69, 51/69, 983/755

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 65/69, 51/69, 983/755?

Answer: LCM of Numerators as per given numbers 65/69, 51/69, 983/755 is

LCM of Numerators i.e. for 65,51,983 is 3258645

GCF of denominators i.e. for 69,69,755 is 1.

Thus, LCM of Fractions is 3258645.Finally, LCM of Fractions for 65/69, 51/69, 983/755 is 3258645.