Least Common Multiple of 22/411, 262/492, 603/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/411, 262/492, 603/960 quickly i.e. 579282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/411, 262/492, 603/960 is 579282.

LCM(22/411, 262/492, 603/960) = 579282

LCM of 22/411, 262/492, 603/960

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 22/411,262/492,603/960

Given numbers are 22/411,262/492,603/960

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 22,262,603

Least Common Multiple of Numerators i.e. LCM of 22,262,603 is 1737846.

GCF of Denominators means GCF of 411,492,960 as per the given fractions.

GCF of 411,492,960 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,262,603

LCM of Fractions 22/411,262/492,603/960 is 579282

2 22, 262, 603
11, 131, 603

∴ So the LCM of the given numbers is 2 x 11 x 131 x 603 = 1737846

Least Common Multiple of 22,262,603 with GCF Formula

Least Common Multiple of 22,262,603 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 22,262,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,262,603) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,262,603) x common factors =1 x 2 = 2

LCM(22,262,603) = ( 22 × 262 × 603 ) / 2

LCM(22,262,603) = 3475692 / 2

LCM(22,262,603) = 1737846


Lets's calculate GCF of 411,492,960

3 411, 492, 960
137, 164, 320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1737846/3

Therefore the LCM of Fractions 22/411,262/492,603/960 is 579282

Greatest Common Factor of 411,492,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,492,960 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 411,492,960 . The biggest common factor number is the GCF number.
So the greatest common factor 411,492,960 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 22/411, 262/492, 603/960

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 22/411, 262/492, 603/960?

Answer: LCM of Numerators as per given numbers 22/411, 262/492, 603/960 is

LCM of Numerators i.e. for 22,262,603 is 1737846

GCF of denominators i.e. for 411,492,960 is 3.

Thus, LCM of Fractions is 579282.Finally, LCM of Fractions for 22/411, 262/492, 603/960 is 579282.