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LCM of 410, 796, 837, 103, 692

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


Find the LCM of 410, 796, 837, 103, 692 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 410, 796, 837, 103, 692. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 410,796,837,103,692

Given numbers are 410,796,837,103,692

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

The LCM of 410,796,837,103,692 is 2433748599540.

Find LCM of 410,796,837,103,692 with Prime Factorization


2 410, 796, 837, 103, 692
2 205, 398, 837, 103, 346
205, 199, 837, 103, 173

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

2 x 2 x 205 x 199 x 837 x 103 x 173 = 2433748599540

Therefore, the lowest common multiple of 410,796,837,103,692 is 2433748599540.

LCM Formula to Find Lowest Common Multiple of 410,796,837,103,692

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.

410 x 796 x 837 x 103 x 692 = 19469988796320

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

796 : 1, 2, 4, 199, 398, 796

837 : 1, 3, 9, 27, 31, 93, 279, 837

103 : 1, 103

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,796,837,103,692, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

796:2x 2x 199

837:3x 3x 3x 31

103:103

692:2x 2x 173

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 2 = 8

Therefore, the value for common factors is 8.

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 = 19469988796320/(1x8)

LCM = 19469988796320/8

LCM = 2433748599540

Thus, we can understand that the LCM of 410,796,837,103,692 is 2433748599540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 410, 796, 837, 103, 692

1. What is the LCM of 410, 796, 837, 103, 692?

Answer: LCM of 410, 796, 837, 103, 692 is 2433748599540.

2. How to calculate the LCM of 410, 796, 837, 103, 692?

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 410, 796, 837, 103, 692.

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}.