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LCM of 461, 276, 181, 445, 920

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 461, 276, 181, 445, 920 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 461, 276, 181, 445, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,276,181,445,920

Given numbers are 461,276,181,445,920

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 461,276,181,445,920 is 20496447240.

Find LCM of 461,276,181,445,920 with Prime Factorization


2 461, 276, 181, 445, 920
2 461, 138, 181, 445, 460
5 461, 69, 181, 445, 230
23 461, 69, 181, 89, 46
461, 3, 181, 89, 2

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 5 x 23 x 461 x 3 x 181 x 89 x 2 = 20496447240

Therefore, the lowest common multiple of 461,276,181,445,920 is 20496447240.

LCM Formula to Find Lowest Common Multiple of 461,276,181,445,920

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

461 x 276 x 181 x 445 x 920 = 9428365730400

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

461 : 1, 461

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

181 : 1, 181

445 : 1, 5, 89, 445

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,276,181,445,920, is 1.

Now, the common factors can be found like this.

461:461

276:2x 2x 3x 23

181:181

445:5x 89

920:2x 2x 2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 5x 23 = 460

Therefore, the value for common factors is 460.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 9428365730400/(1x460)

LCM = 9428365730400/460

LCM = 20496447240

Thus, we can understand that the LCM of 461,276,181,445,920 is 20496447240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 461, 276, 181, 445, 920

1. What is the LCM of 461, 276, 181, 445, 920?

Answer: LCM of 461, 276, 181, 445, 920 is 20496447240.

2. How to calculate the LCM of 461, 276, 181, 445, 920?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 461, 276, 181, 445, 920.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.