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LCM of 689, 667, 899, 572

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


Find the LCM of 689, 667, 899, 572 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 689, 667, 899, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,667,899,572

Given numbers are 689,667,899,572

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

The LCM of 689,667,899,572 is 626843932.

Find LCM of 689,667,899,572 with Prime Factorization


13 689, 667, 899, 572
29 53, 667, 899, 44
53, 23, 31, 44

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

13 x 29 x 53 x 23 x 31 x 44 = 626843932

Therefore, the lowest common multiple of 689,667,899,572 is 626843932.

LCM Formula to Find Lowest Common Multiple of 689,667,899,572

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.

689 x 667 x 899 x 572 = 236320162364

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.

689 : 1, 13, 53, 689

667 : 1, 23, 29, 667

899 : 1, 29, 31, 899

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,667,899,572, is 1.

Now, the common factors can be found like this.

689:13x 53

667:23x 29

899:29x 31

572:2x 2x 11x 13

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

13x 29 = 377

Therefore, the value for common factors is 377.

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 = 236320162364/(1x377)

LCM = 236320162364/377

LCM = 626843932

Thus, we can understand that the LCM of 689,667,899,572 is 626843932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 667, 899, 572

1. What is the LCM of 689, 667, 899, 572?

Answer: LCM of 689, 667, 899, 572 is 626843932.

2. How to calculate the LCM of 689, 667, 899, 572?

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 689, 667, 899, 572.

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}.