Least Common Multiple of 69/75, 66/15, 847/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/75, 66/15, 847/685 quickly i.e. 116886/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/75, 66/15, 847/685 is 116886/5.

LCM(69/75, 66/15, 847/685) = 116886/5

LCM of 69/75, 66/15, 847/685

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 69/75,66/15,847/685

Given numbers are 69/75,66/15,847/685

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 69,66,847

Least Common Multiple of Numerators i.e. LCM of 69,66,847 is 116886.

GCF of Denominators means GCF of 75,15,685 as per the given fractions.

GCF of 75,15,685 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,66,847

LCM of Fractions 69/75,66/15,847/685 is 116886/5

3 69, 66, 847
11 23, 22, 847
23, 2, 77

∴ So the LCM of the given numbers is 3 x 11 x 23 x 2 x 77 = 116886

Least Common Multiple of 69,66,847 with GCF Formula

Least Common Multiple of 69,66,847 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 69,66,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,66,847) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(69,66,847) x common factors =1 x 33 = 33

LCM(69,66,847) = ( 69 × 66 × 847 ) / 33

LCM(69,66,847) = 3857238 / 33

LCM(69,66,847) = 116886


Lets's calculate GCF of 75,15,685

5 75, 15, 685
15, 3, 137

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116886/5

Therefore the LCM of Fractions 69/75,66/15,847/685 is 116886/5

Greatest Common Factor of 75,15,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,15,685 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 75,15,685 . The biggest common factor number is the GCF number.
So the greatest common factor 75,15,685 is 5.


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 69/75, 66/15, 847/685

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 69/75, 66/15, 847/685?

Answer: LCM of Numerators as per given numbers 69/75, 66/15, 847/685 is

LCM of Numerators i.e. for 69,66,847 is 116886

GCF of denominators i.e. for 75,15,685 is 5.

Thus, LCM of Fractions is 116886/5.Finally, LCM of Fractions for 69/75, 66/15, 847/685 is 116886/5.