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LCM of 363, 105, 700, 818

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


Find the LCM of 363, 105, 700, 818 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 363, 105, 700, 818. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,105,700,818

Given numbers are 363,105,700,818

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

The LCM of 363,105,700,818 is 103926900.

Find LCM of 363,105,700,818 with Prime Factorization


2 363, 105, 700, 818
3 363, 105, 350, 409
5 121, 35, 350, 409
7 121, 7, 70, 409
121, 1, 10, 409

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

2 x 3 x 5 x 7 x 121 x 1 x 10 x 409 = 103926900

Therefore, the lowest common multiple of 363,105,700,818 is 103926900.

LCM Formula to Find Lowest Common Multiple of 363,105,700,818

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.

363 x 105 x 700 x 818 = 21824649000

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.

363 : 1, 3, 11, 33, 121, 363

105 : 1, 3, 5, 7, 15, 21, 35, 105

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

818 : 1, 2, 409, 818

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,105,700,818, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

105:3x 5x 7

700:2x 2x 5x 5x 7

818:2x 409

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

2x 3x 5x 7 = 210

Therefore, the value for common factors is 210.

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 = 21824649000/(1x210)

LCM = 21824649000/210

LCM = 103926900

Thus, we can understand that the LCM of 363,105,700,818 is 103926900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 105, 700, 818

1. What is the LCM of 363, 105, 700, 818?

Answer: LCM of 363, 105, 700, 818 is 103926900.

2. How to calculate the LCM of 363, 105, 700, 818?

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 363, 105, 700, 818.

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}.