Least Common Multiple of 69/10, 924/18, 775/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/10, 924/18, 775/772 quickly i.e. 8235150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/10, 924/18, 775/772 is 8235150.

LCM(69/10, 924/18, 775/772) = 8235150

LCM of 69/10, 924/18, 775/772

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 69/10,924/18,775/772

Given numbers are 69/10,924/18,775/772

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 69,924,775

Least Common Multiple of Numerators i.e. LCM of 69,924,775 is 16470300.

GCF of Denominators means GCF of 10,18,772 as per the given fractions.

GCF of 10,18,772 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,924,775

LCM of Fractions 69/10,924/18,775/772 is 8235150

3 69, 924, 775
23, 308, 775

∴ So the LCM of the given numbers is 3 x 23 x 308 x 775 = 16470300

Least Common Multiple of 69,924,775 with GCF Formula

Least Common Multiple of 69,924,775 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 69,924,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,924,775) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,924,775) x common factors =1 x 3 = 3

LCM(69,924,775) = ( 69 × 924 × 775 ) / 3

LCM(69,924,775) = 49410900 / 3

LCM(69,924,775) = 16470300


Lets's calculate GCF of 10,18,772

2 10, 18, 772
5, 9, 386

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16470300/2

Therefore the LCM of Fractions 69/10,924/18,775/772 is 8235150

Greatest Common Factor of 10,18,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,18,772 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 10,18,772 . The biggest common factor number is the GCF number.
So the greatest common factor 10,18,772 is 2.


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 69/10, 924/18, 775/772

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 69/10, 924/18, 775/772?

Answer: LCM of Numerators as per given numbers 69/10, 924/18, 775/772 is

LCM of Numerators i.e. for 69,924,775 is 16470300

GCF of denominators i.e. for 10,18,772 is 2.

Thus, LCM of Fractions is 8235150.Finally, LCM of Fractions for 69/10, 924/18, 775/772 is 8235150.