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LCM of 411, 845, 632, 221, 632

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


Find the LCM of 411, 845, 632, 221, 632 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 411, 845, 632, 221, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 411,845,632,221,632

Given numbers are 411,845,632,221,632

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

The LCM of 411,845,632,221,632 is 3731337480.

Find LCM of 411,845,632,221,632 with Prime Factorization


2 411, 845, 632, 221, 632
2 411, 845, 316, 221, 316
2 411, 845, 158, 221, 158
13 411, 845, 79, 221, 79
79 411, 65, 79, 17, 79
411, 65, 1, 17, 1

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

2 x 2 x 2 x 13 x 79 x 411 x 65 x 1 x 17 x 1 = 3731337480

Therefore, the lowest common multiple of 411,845,632,221,632 is 3731337480.

LCM Formula to Find Lowest Common Multiple of 411,845,632,221,632

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.

411 x 845 x 632 x 221 x 632 = 30656668735680

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.

411 : 1, 3, 137, 411

845 : 1, 5, 13, 65, 169, 845

632 : 1, 2, 4, 8, 79, 158, 316, 632

221 : 1, 13, 17, 221

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,845,632,221,632, is 1.

Now, the common factors can be found like this.

411:3x 137

845:5x 13x 13

632:2x 2x 2x 79

221:13x 17

632:2x 2x 2x 79

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 2x 13x 79 = 8216

Therefore, the value for common factors is 8216.

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 = 30656668735680/(1x8216)

LCM = 30656668735680/8216

LCM = 3731337480

Thus, we can understand that the LCM of 411,845,632,221,632 is 3731337480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 411, 845, 632, 221, 632

1. What is the LCM of 411, 845, 632, 221, 632?

Answer: LCM of 411, 845, 632, 221, 632 is 3731337480.

2. How to calculate the LCM of 411, 845, 632, 221, 632?

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 411, 845, 632, 221, 632.

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}.