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LCM of 646, 710, 899, 869

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


Find the LCM of 646, 710, 899, 869 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 646, 710, 899, 869. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 646,710,899,869

Given numbers are 646,710,899,869

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

The LCM of 646,710,899,869 is 179159705230.

Find LCM of 646,710,899,869 with Prime Factorization


2 646, 710, 899, 869
323, 355, 899, 869

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

2 x 323 x 355 x 899 x 869 = 179159705230

Therefore, the lowest common multiple of 646,710,899,869 is 179159705230.

LCM Formula to Find Lowest Common Multiple of 646,710,899,869

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.

646 x 710 x 899 x 869 = 358319410460

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

710 : 1, 2, 5, 10, 71, 142, 355, 710

899 : 1, 29, 31, 899

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,710,899,869, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

710:2x 5x 71

899:29x 31

869:11x 79

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 = 358319410460/(1x2)

LCM = 358319410460/2

LCM = 179159705230

Thus, we can understand that the LCM of 646,710,899,869 is 179159705230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 646, 710, 899, 869

1. What is the LCM of 646, 710, 899, 869?

Answer: LCM of 646, 710, 899, 869 is 179159705230.

2. How to calculate the LCM of 646, 710, 899, 869?

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 646, 710, 899, 869.

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}.