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LCM of 867, 395, 147, 816

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


Find the LCM of 867, 395, 147, 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 867, 395, 147, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 867,395,147,816

Given numbers are 867,395,147,816

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

The LCM of 867,395,147,816 is 268492560.

Find LCM of 867,395,147,816 with Prime Factorization


3 867, 395, 147, 816
17 289, 395, 49, 272
17, 395, 49, 16

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

3 x 17 x 17 x 395 x 49 x 16 = 268492560

Therefore, the lowest common multiple of 867,395,147,816 is 268492560.

LCM Formula to Find Lowest Common Multiple of 867,395,147,816

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.

867 x 395 x 147 x 816 = 41079361680

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.

867 : 1, 3, 17, 51, 289, 867

395 : 1, 5, 79, 395

147 : 1, 3, 7, 21, 49, 147

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 867,395,147,816, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

395:5x 79

147:3x 7x 7

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.

3x 3x 17 = 153

Therefore, the value for common factors is 153.

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 = 41079361680/(1x153)

LCM = 41079361680/153

LCM = 268492560

Thus, we can understand that the LCM of 867,395,147,816 is 268492560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 867, 395, 147, 816

1. What is the LCM of 867, 395, 147, 816?

Answer: LCM of 867, 395, 147, 816 is 268492560.

2. How to calculate the LCM of 867, 395, 147, 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 867, 395, 147, 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}.