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LCM of 103, 796, 217, 356

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


Find the LCM of 103, 796, 217, 356 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 103, 796, 217, 356. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 103,796,217,356

Given numbers are 103,796,217,356

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

The LCM of 103,796,217,356 is 1583434244.

Find LCM of 103,796,217,356 with Prime Factorization


2 103, 796, 217, 356
2 103, 398, 217, 178
103, 199, 217, 89

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

2 x 2 x 103 x 199 x 217 x 89 = 1583434244

Therefore, the lowest common multiple of 103,796,217,356 is 1583434244.

LCM Formula to Find Lowest Common Multiple of 103,796,217,356

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.

103 x 796 x 217 x 356 = 6333736976

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.

103 : 1, 103

796 : 1, 2, 4, 199, 398, 796

217 : 1, 7, 31, 217

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,796,217,356, is 1.

Now, the common factors can be found like this.

103:103

796:2x 2x 199

217:7x 31

356:2x 2x 89

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6333736976/(1x4)

LCM = 6333736976/4

LCM = 1583434244

Thus, we can understand that the LCM of 103,796,217,356 is 1583434244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 103, 796, 217, 356

1. What is the LCM of 103, 796, 217, 356?

Answer: LCM of 103, 796, 217, 356 is 1583434244.

2. How to calculate the LCM of 103, 796, 217, 356?

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 103, 796, 217, 356.

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}.