Least Common Multiple of 31/90, 57/266, 614/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/90, 57/266, 614/774 quickly i.e. 542469 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/90, 57/266, 614/774 is 542469.

LCM(31/90, 57/266, 614/774) = 542469

LCM of 31/90, 57/266, 614/774

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 31/90,57/266,614/774

Given numbers are 31/90,57/266,614/774

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 31,57,614

Least Common Multiple of Numerators i.e. LCM of 31,57,614 is 1084938.

GCF of Denominators means GCF of 90,266,774 as per the given fractions.

GCF of 90,266,774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,57,614

LCM of Fractions 31/90,57/266,614/774 is 542469

Given numbers has no common factors except 1. So, there LCM is their product i.e 1084938

Least Common Multiple of 31,57,614 with GCF Formula

Least Common Multiple of 31,57,614 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 31,57,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,57,614) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,57,614) x common factors =1 x 1 = 1

LCM(31,57,614) = ( 31 × 57 × 614 ) / 1

LCM(31,57,614) = 1084938 / 1

LCM(31,57,614) = 1084938


Lets's calculate GCF of 90,266,774

2 90, 266, 774
45, 133, 387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1084938/2

Therefore the LCM of Fractions 31/90,57/266,614/774 is 542469

Greatest Common Factor of 90,266,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,266,774 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

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

Greatest Common Factor

We found the factors 90,266,774 . The biggest common factor number is the GCF number.
So the greatest common factor 90,266,774 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 31/90, 57/266, 614/774

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 31/90, 57/266, 614/774?

Answer: LCM of Numerators as per given numbers 31/90, 57/266, 614/774 is

LCM of Numerators i.e. for 31,57,614 is 1084938

GCF of denominators i.e. for 90,266,774 is 2.

Thus, LCM of Fractions is 542469.Finally, LCM of Fractions for 31/90, 57/266, 614/774 is 542469.