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LCM of 816, 603, 622, 391

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


Find the LCM of 816, 603, 622, 391 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 816, 603, 622, 391. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,603,622,391

Given numbers are 816,603,622,391

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

The LCM of 816,603,622,391 is 1173206448.

Find LCM of 816,603,622,391 with Prime Factorization


2 816, 603, 622, 391
3 408, 603, 311, 391
17 136, 201, 311, 391
8, 201, 311, 23

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

2 x 3 x 17 x 8 x 201 x 311 x 23 = 1173206448

Therefore, the lowest common multiple of 816,603,622,391 is 1173206448.

LCM Formula to Find Lowest Common Multiple of 816,603,622,391

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.

816 x 603 x 622 x 391 = 119667057696

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.

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

603 : 1, 3, 9, 67, 201, 603

622 : 1, 2, 311, 622

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,603,622,391, is 1.

Now, the common factors can be found like this.

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

603:3x 3x 67

622:2x 311

391:17x 23

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 17 = 102

Therefore, the value for common factors is 102.

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 = 119667057696/(1x102)

LCM = 119667057696/102

LCM = 1173206448

Thus, we can understand that the LCM of 816,603,622,391 is 1173206448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 603, 622, 391

1. What is the LCM of 816, 603, 622, 391?

Answer: LCM of 816, 603, 622, 391 is 1173206448.

2. How to calculate the LCM of 816, 603, 622, 391?

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 816, 603, 622, 391.

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}.