Least Common Multiple of 69/306, 17/888, 969/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/306, 17/888, 969/985 quickly i.e. 22287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/306, 17/888, 969/985 is 22287.

LCM(69/306, 17/888, 969/985) = 22287

LCM of 69/306, 17/888, 969/985

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 69/306,17/888,969/985

Given numbers are 69/306,17/888,969/985

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 69,17,969

Least Common Multiple of Numerators i.e. LCM of 69,17,969 is 22287.

GCF of Denominators means GCF of 306,888,985 as per the given fractions.

GCF of 306,888,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,17,969

LCM of Fractions 69/306,17/888,969/985 is 22287

3 69, 17, 969
17 23, 17, 323
23, 1, 19

∴ So the LCM of the given numbers is 3 x 17 x 23 x 1 x 19 = 22287

Least Common Multiple of 69,17,969 with GCF Formula

Least Common Multiple of 69,17,969 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 69,17,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,17,969) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(69,17,969) x common factors =1 x 51 = 51

LCM(69,17,969) = ( 69 × 17 × 969 ) / 51

LCM(69,17,969) = 1136637 / 51

LCM(69,17,969) = 22287


Lets's calculate GCF of 306,888,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22287/1

Therefore the LCM of Fractions 69/306,17/888,969/985 is 22287

Greatest Common Factor of 306,888,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,888,985 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 306,888,985 . The biggest common factor number is the GCF number.
So the greatest common factor 306,888,985 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 69/306, 17/888, 969/985

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 69/306, 17/888, 969/985?

Answer: LCM of Numerators as per given numbers 69/306, 17/888, 969/985 is

LCM of Numerators i.e. for 69,17,969 is 22287

GCF of denominators i.e. for 306,888,985 is 1.

Thus, LCM of Fractions is 22287.Finally, LCM of Fractions for 69/306, 17/888, 969/985 is 22287.