Least Common Multiple of 11/540, 818/310, 946/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/540, 818/310, 946/838 quickly i.e. 193457 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/540, 818/310, 946/838 is 193457.

LCM(11/540, 818/310, 946/838) = 193457

LCM of 11/540, 818/310, 946/838

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 11/540,818/310,946/838

Given numbers are 11/540,818/310,946/838

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 11,818,946

Least Common Multiple of Numerators i.e. LCM of 11,818,946 is 386914.

GCF of Denominators means GCF of 540,310,838 as per the given fractions.

GCF of 540,310,838 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,818,946

LCM of Fractions 11/540,818/310,946/838 is 193457

2 11, 818, 946
11 11, 409, 473
1, 409, 43

∴ So the LCM of the given numbers is 2 x 11 x 1 x 409 x 43 = 386914

Least Common Multiple of 11,818,946 with GCF Formula

Least Common Multiple of 11,818,946 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 11,818,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,818,946) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(11,818,946) x common factors =1 x 22 = 22

LCM(11,818,946) = ( 11 × 818 × 946 ) / 22

LCM(11,818,946) = 8512108 / 22

LCM(11,818,946) = 386914


Lets's calculate GCF of 540,310,838

2 540, 310, 838
270, 155, 419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386914/2

Therefore the LCM of Fractions 11/540,818/310,946/838 is 193457

Greatest Common Factor of 540,310,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,310,838 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 540,310,838 . The biggest common factor number is the GCF number.
So the greatest common factor 540,310,838 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 11/540, 818/310, 946/838

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 11/540, 818/310, 946/838?

Answer: LCM of Numerators as per given numbers 11/540, 818/310, 946/838 is

LCM of Numerators i.e. for 11,818,946 is 386914

GCF of denominators i.e. for 540,310,838 is 2.

Thus, LCM of Fractions is 193457.Finally, LCM of Fractions for 11/540, 818/310, 946/838 is 193457.