Least Common Multiple of 69/774, 18/657, 461/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/774, 18/657, 461/249 quickly i.e. 63618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/774, 18/657, 461/249 is 63618.

LCM(69/774, 18/657, 461/249) = 63618

LCM of 69/774, 18/657, 461/249

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 69/774,18/657,461/249

Given numbers are 69/774,18/657,461/249

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 69,18,461

Least Common Multiple of Numerators i.e. LCM of 69,18,461 is 190854.

GCF of Denominators means GCF of 774,657,249 as per the given fractions.

GCF of 774,657,249 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,18,461

LCM of Fractions 69/774,18/657,461/249 is 63618

3 69, 18, 461
23, 6, 461

∴ So the LCM of the given numbers is 3 x 23 x 6 x 461 = 190854

Least Common Multiple of 69,18,461 with GCF Formula

Least Common Multiple of 69,18,461 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 69,18,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,18,461) = 1

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

GCF(69,18,461) x common factors =1 x 3 = 3

LCM(69,18,461) = ( 69 × 18 × 461 ) / 3

LCM(69,18,461) = 572562 / 3

LCM(69,18,461) = 190854


Lets's calculate GCF of 774,657,249

3 774, 657, 249
258, 219, 83

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190854/3

Therefore the LCM of Fractions 69/774,18/657,461/249 is 63618

Greatest Common Factor of 774,657,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,657,249 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 774,657,249 . The biggest common factor number is the GCF number.
So the greatest common factor 774,657,249 is 3.


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 69/774, 18/657, 461/249

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 69/774, 18/657, 461/249?

Answer: LCM of Numerators as per given numbers 69/774, 18/657, 461/249 is

LCM of Numerators i.e. for 69,18,461 is 190854

GCF of denominators i.e. for 774,657,249 is 3.

Thus, LCM of Fractions is 63618.Finally, LCM of Fractions for 69/774, 18/657, 461/249 is 63618.