Least Common Multiple of 11/314, 469/650, 631/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/314, 469/650, 631/380 quickly i.e. 3255329/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/314, 469/650, 631/380 is 3255329/2.

LCM(11/314, 469/650, 631/380) = 3255329/2

LCM of 11/314, 469/650, 631/380

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 11/314,469/650,631/380

Given numbers are 11/314,469/650,631/380

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 11,469,631

Least Common Multiple of Numerators i.e. LCM of 11,469,631 is 3255329.

GCF of Denominators means GCF of 314,650,380 as per the given fractions.

GCF of 314,650,380 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,469,631

LCM of Fractions 11/314,469/650,631/380 is 3255329/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3255329

Least Common Multiple of 11,469,631 with GCF Formula

Least Common Multiple of 11,469,631 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 11,469,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,469,631) = 1

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

GCF(11,469,631) x common factors =1 x 1 = 1

LCM(11,469,631) = ( 11 × 469 × 631 ) / 1

LCM(11,469,631) = 3255329 / 1

LCM(11,469,631) = 3255329


Lets's calculate GCF of 314,650,380

2 314, 650, 380
157, 325, 190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3255329/2

Therefore the LCM of Fractions 11/314,469/650,631/380 is 3255329/2

Greatest Common Factor of 314,650,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,650,380 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 314,650,380 . The biggest common factor number is the GCF number.
So the greatest common factor 314,650,380 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/314, 469/650, 631/380

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 11/314, 469/650, 631/380?

Answer: LCM of Numerators as per given numbers 11/314, 469/650, 631/380 is

LCM of Numerators i.e. for 11,469,631 is 3255329

GCF of denominators i.e. for 314,650,380 is 2.

Thus, LCM of Fractions is 3255329/2.Finally, LCM of Fractions for 11/314, 469/650, 631/380 is 3255329/2.