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LCM of 395, 918, 814, 341, 153

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


Find the LCM of 395, 918, 814, 341, 153 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 395, 918, 814, 341, 153. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 395,918,814,341,153

Given numbers are 395,918,814,341,153

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

The LCM of 395,918,814,341,153 is 4575050370.

Find LCM of 395,918,814,341,153 with Prime Factorization


2 395, 918, 814, 341, 153
3 395, 459, 407, 341, 153
3 395, 51, 407, 341, 153
11 395, 17, 407, 341, 51
17 395, 17, 37, 31, 51
395, 1, 37, 31, 3

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

2 x 3 x 3 x 11 x 17 x 395 x 1 x 37 x 31 x 3 = 4575050370

Therefore, the lowest common multiple of 395,918,814,341,153 is 4575050370.

LCM Formula to Find Lowest Common Multiple of 395,918,814,341,153

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.

395 x 918 x 814 x 341 x 153 = 15399619545420

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.

395 : 1, 5, 79, 395

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

814 : 1, 2, 11, 22, 37, 74, 407, 814

341 : 1, 11, 31, 341

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,918,814,341,153, is 1.

Now, the common factors can be found like this.

395:5x 79

918:2x 3x 3x 3x 17

814:2x 11x 37

341:11x 31

153:3x 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 3x 3x 11x 17 = 3366

Therefore, the value for common factors is 3366.

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 = 15399619545420/(1x3366)

LCM = 15399619545420/3366

LCM = 4575050370

Thus, we can understand that the LCM of 395,918,814,341,153 is 4575050370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 395, 918, 814, 341, 153

1. What is the LCM of 395, 918, 814, 341, 153?

Answer: LCM of 395, 918, 814, 341, 153 is 4575050370.

2. How to calculate the LCM of 395, 918, 814, 341, 153?

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 395, 918, 814, 341, 153.

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}.