Least Common Multiple of 92/774, 84/663, 270/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/774, 84/663, 270/306 quickly i.e. 28980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/774, 84/663, 270/306 is 28980.

LCM(92/774, 84/663, 270/306) = 28980

LCM of 92/774, 84/663, 270/306

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 92/774,84/663,270/306

Given numbers are 92/774,84/663,270/306

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 92,84,270

Least Common Multiple of Numerators i.e. LCM of 92,84,270 is 86940.

GCF of Denominators means GCF of 774,663,306 as per the given fractions.

GCF of 774,663,306 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,84,270

LCM of Fractions 92/774,84/663,270/306 is 28980

2 92, 84, 270
2 46, 42, 135
3 23, 21, 135
23, 7, 45

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 7 x 45 = 86940

Least Common Multiple of 92,84,270 with GCF Formula

Least Common Multiple of 92,84,270 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 92,84,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,84,270) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(92,84,270) x common factors =2 x 12 = 24

LCM(92,84,270) = ( 92 × 84 × 270 ) / 24

LCM(92,84,270) = 2086560 / 24

LCM(92,84,270) = 86940


Lets's calculate GCF of 774,663,306

3 774, 663, 306
258, 221, 102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86940/3

Therefore the LCM of Fractions 92/774,84/663,270/306 is 28980

Greatest Common Factor of 774,663,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,663,306 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 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

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

Greatest Common Factor

We found the factors 774,663,306 . The biggest common factor number is the GCF number.
So the greatest common factor 774,663,306 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 92/774, 84/663, 270/306

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 92/774, 84/663, 270/306?

Answer: LCM of Numerators as per given numbers 92/774, 84/663, 270/306 is

LCM of Numerators i.e. for 92,84,270 is 86940

GCF of denominators i.e. for 774,663,306 is 3.

Thus, LCM of Fractions is 28980.Finally, LCM of Fractions for 92/774, 84/663, 270/306 is 28980.