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LCM of 214, 767, 199, 804

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


Find the LCM of 214, 767, 199, 804 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 214, 767, 199, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 214,767,199,804

Given numbers are 214,767,199,804

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

The LCM of 214,767,199,804 is 13130711724.

Find LCM of 214,767,199,804 with Prime Factorization


2 214, 767, 199, 804
107, 767, 199, 402

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

2 x 107 x 767 x 199 x 402 = 13130711724

Therefore, the lowest common multiple of 214,767,199,804 is 13130711724.

LCM Formula to Find Lowest Common Multiple of 214,767,199,804

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.

214 x 767 x 199 x 804 = 26261423448

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.

214 : 1, 2, 107, 214

767 : 1, 13, 59, 767

199 : 1, 199

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,767,199,804, is 1.

Now, the common factors can be found like this.

214:2x 107

767:13x 59

199:199

804:2x 2x 3x 67

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

2 = 2

Therefore, the value for common factors is 2.

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 = 26261423448/(1x2)

LCM = 26261423448/2

LCM = 13130711724

Thus, we can understand that the LCM of 214,767,199,804 is 13130711724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 214, 767, 199, 804

1. What is the LCM of 214, 767, 199, 804?

Answer: LCM of 214, 767, 199, 804 is 13130711724.

2. How to calculate the LCM of 214, 767, 199, 804?

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 214, 767, 199, 804.

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}.