Least Common Multiple of 11/681, 90/223, 308/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/681, 90/223, 308/740 quickly i.e. 13860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/681, 90/223, 308/740 is 13860.

LCM(11/681, 90/223, 308/740) = 13860

LCM of 11/681, 90/223, 308/740

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 11/681,90/223,308/740

Given numbers are 11/681,90/223,308/740

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 11,90,308

Least Common Multiple of Numerators i.e. LCM of 11,90,308 is 13860.

GCF of Denominators means GCF of 681,223,740 as per the given fractions.

GCF of 681,223,740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,90,308

LCM of Fractions 11/681,90/223,308/740 is 13860

2 11, 90, 308
11 11, 45, 154
1, 45, 14

∴ So the LCM of the given numbers is 2 x 11 x 1 x 45 x 14 = 13860

Least Common Multiple of 11,90,308 with GCF Formula

Least Common Multiple of 11,90,308 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 11,90,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,90,308) = 1

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

GCF(11,90,308) x common factors =1 x 22 = 22

LCM(11,90,308) = ( 11 × 90 × 308 ) / 22

LCM(11,90,308) = 304920 / 22

LCM(11,90,308) = 13860


Lets's calculate GCF of 681,223,740

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13860/1

Therefore the LCM of Fractions 11/681,90/223,308/740 is 13860

Greatest Common Factor of 681,223,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,223,740 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 681,223,740 . The biggest common factor number is the GCF number.
So the greatest common factor 681,223,740 is 1.


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 11/681, 90/223, 308/740

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 11/681, 90/223, 308/740?

Answer: LCM of Numerators as per given numbers 11/681, 90/223, 308/740 is

LCM of Numerators i.e. for 11,90,308 is 13860

GCF of denominators i.e. for 681,223,740 is 1.

Thus, LCM of Fractions is 13860.Finally, LCM of Fractions for 11/681, 90/223, 308/740 is 13860.