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LCM of 593, 242, 748, 104, 816

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


Find the LCM of 593, 242, 748, 104, 816 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 593, 242, 748, 104, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 593,242,748,104,816

Given numbers are 593,242,748,104,816

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

The LCM of 593,242,748,104,816 is 761155824.

Find LCM of 593,242,748,104,816 with Prime Factorization


2 593, 242, 748, 104, 816
2 593, 121, 374, 52, 408
2 593, 121, 187, 26, 204
11 593, 121, 187, 13, 102
17 593, 11, 17, 13, 102
593, 11, 1, 13, 6

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

2 x 2 x 2 x 11 x 17 x 593 x 11 x 1 x 13 x 6 = 761155824

Therefore, the lowest common multiple of 593,242,748,104,816 is 761155824.

LCM Formula to Find Lowest Common Multiple of 593,242,748,104,816

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.

593 x 242 x 748 x 104 x 816 = 9109512901632

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.

593 : 1, 593

242 : 1, 2, 11, 22, 121, 242

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

104 : 1, 2, 4, 8, 13, 26, 52, 104

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,242,748,104,816, is 1.

Now, the common factors can be found like this.

593:593

242:2x 11x 11

748:2x 2x 11x 17

104:2x 2x 2x 13

816:2x 2x 2x 2x 3x 17

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 2x 2x 2x 11x 17 = 11968

Therefore, the value for common factors is 11968.

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 = 9109512901632/(1x11968)

LCM = 9109512901632/11968

LCM = 761155824

Thus, we can understand that the LCM of 593,242,748,104,816 is 761155824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 593, 242, 748, 104, 816

1. What is the LCM of 593, 242, 748, 104, 816?

Answer: LCM of 593, 242, 748, 104, 816 is 761155824.

2. How to calculate the LCM of 593, 242, 748, 104, 816?

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 593, 242, 748, 104, 816.

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}.