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LCM of 877, 803, 214, 998

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


Find the LCM of 877, 803, 214, 998 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 877, 803, 214, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 877,803,214,998

Given numbers are 877,803,214,998

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

The LCM of 877,803,214,998 is 75202011566.

Find LCM of 877,803,214,998 with Prime Factorization


2 877, 803, 214, 998
877, 803, 107, 499

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

2 x 877 x 803 x 107 x 499 = 75202011566

Therefore, the lowest common multiple of 877,803,214,998 is 75202011566.

LCM Formula to Find Lowest Common Multiple of 877,803,214,998

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.

877 x 803 x 214 x 998 = 150404023132

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.

877 : 1, 877

803 : 1, 11, 73, 803

214 : 1, 2, 107, 214

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,803,214,998, is 1.

Now, the common factors can be found like this.

877:877

803:11x 73

214:2x 107

998:2x 499

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 = 150404023132/(1x2)

LCM = 150404023132/2

LCM = 75202011566

Thus, we can understand that the LCM of 877,803,214,998 is 75202011566.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 877, 803, 214, 998

1. What is the LCM of 877, 803, 214, 998?

Answer: LCM of 877, 803, 214, 998 is 75202011566.

2. How to calculate the LCM of 877, 803, 214, 998?

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 877, 803, 214, 998.

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}.