Least Common Multiple of 11/45, 26/222, 897/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/45, 26/222, 897/501 quickly i.e. 6578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/45, 26/222, 897/501 is 6578.

LCM(11/45, 26/222, 897/501) = 6578

LCM of 11/45, 26/222, 897/501

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 11/45,26/222,897/501

Given numbers are 11/45,26/222,897/501

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 11,26,897

Least Common Multiple of Numerators i.e. LCM of 11,26,897 is 19734.

GCF of Denominators means GCF of 45,222,501 as per the given fractions.

GCF of 45,222,501 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,26,897

LCM of Fractions 11/45,26/222,897/501 is 6578

13 11, 26, 897
11, 2, 69

∴ So the LCM of the given numbers is 13 x 11 x 2 x 69 = 19734

Least Common Multiple of 11,26,897 with GCF Formula

Least Common Multiple of 11,26,897 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 11,26,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,26,897) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(11,26,897) x common factors =1 x 13 = 13

LCM(11,26,897) = ( 11 × 26 × 897 ) / 13

LCM(11,26,897) = 256542 / 13

LCM(11,26,897) = 19734


Lets's calculate GCF of 45,222,501

3 45, 222, 501
15, 74, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19734/3

Therefore the LCM of Fractions 11/45,26/222,897/501 is 6578

Greatest Common Factor of 45,222,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,222,501 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 45,222,501 . The biggest common factor number is the GCF number.
So the greatest common factor 45,222,501 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 11/45, 26/222, 897/501

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 11/45, 26/222, 897/501?

Answer: LCM of Numerators as per given numbers 11/45, 26/222, 897/501 is

LCM of Numerators i.e. for 11,26,897 is 19734

GCF of denominators i.e. for 45,222,501 is 3.

Thus, LCM of Fractions is 6578.Finally, LCM of Fractions for 11/45, 26/222, 897/501 is 6578.