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LCM of 910, 506, 638, 392, 345

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


Find the LCM of 910, 506, 638, 392, 345 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 910, 506, 638, 392, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,506,638,392,345

Given numbers are 910,506,638,392,345

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

The LCM of 910,506,638,392,345 is 560840280.

Find LCM of 910,506,638,392,345 with Prime Factorization


2 910, 506, 638, 392, 345
5 455, 253, 319, 196, 345
7 91, 253, 319, 196, 69
11 13, 253, 319, 28, 69
23 13, 23, 29, 28, 69
13, 1, 29, 28, 3

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

2 x 5 x 7 x 11 x 23 x 13 x 1 x 29 x 28 x 3 = 560840280

Therefore, the lowest common multiple of 910,506,638,392,345 is 560840280.

LCM Formula to Find Lowest Common Multiple of 910,506,638,392,345

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.

910 x 506 x 638 x 392 x 345 = 39729925435200

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

506 : 1, 2, 11, 22, 23, 46, 253, 506

638 : 1, 2, 11, 22, 29, 58, 319, 638

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,506,638,392,345, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

506:2x 11x 23

638:2x 11x 29

392:2x 2x 2x 7x 7

345:3x 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 2x 5x 7x 11x 23 = 70840

Therefore, the value for common factors is 70840.

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 = 39729925435200/(1x70840)

LCM = 39729925435200/70840

LCM = 560840280

Thus, we can understand that the LCM of 910,506,638,392,345 is 560840280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 506, 638, 392, 345

1. What is the LCM of 910, 506, 638, 392, 345?

Answer: LCM of 910, 506, 638, 392, 345 is 560840280.

2. How to calculate the LCM of 910, 506, 638, 392, 345?

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 910, 506, 638, 392, 345.

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}.