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LCM of 393, 393, 203, 154, 936

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


Find the LCM of 393, 393, 203, 154, 936 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 393, 393, 203, 154, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 393,393,203,154,936

Given numbers are 393,393,203,154,936

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

The LCM of 393,393,203,154,936 is 273801528.

Find LCM of 393,393,203,154,936 with Prime Factorization


2 393, 393, 203, 154, 936
3 393, 393, 203, 77, 468
7 131, 131, 203, 77, 156
131 131, 131, 29, 11, 156
1, 1, 29, 11, 156

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

2 x 3 x 7 x 131 x 1 x 1 x 29 x 11 x 156 = 273801528

Therefore, the lowest common multiple of 393,393,203,154,936 is 273801528.

LCM Formula to Find Lowest Common Multiple of 393,393,203,154,936

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.

393 x 393 x 203 x 154 x 936 = 4519368021168

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.

393 : 1, 3, 131, 393

393 : 1, 3, 131, 393

203 : 1, 7, 29, 203

154 : 1, 2, 7, 11, 14, 22, 77, 154

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,393,203,154,936, is 1.

Now, the common factors can be found like this.

393:3x 131

393:3x 131

203:7x 29

154:2x 7x 11

936:2x 2x 2x 3x 3x 13

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 7x 131 = 16506

Therefore, the value for common factors is 16506.

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 = 4519368021168/(1x16506)

LCM = 4519368021168/16506

LCM = 273801528

Thus, we can understand that the LCM of 393,393,203,154,936 is 273801528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 393, 393, 203, 154, 936

1. What is the LCM of 393, 393, 203, 154, 936?

Answer: LCM of 393, 393, 203, 154, 936 is 273801528.

2. How to calculate the LCM of 393, 393, 203, 154, 936?

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 393, 393, 203, 154, 936.

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}.