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LCM of 506, 852, 901, 799

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


Find the LCM of 506, 852, 901, 799 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 506, 852, 901, 799. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,852,901,799

Given numbers are 506,852,901,799

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

The LCM of 506,852,901,799 is 9128149932.

Find LCM of 506,852,901,799 with Prime Factorization


2 506, 852, 901, 799
17 253, 426, 901, 799
253, 426, 53, 47

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

2 x 17 x 253 x 426 x 53 x 47 = 9128149932

Therefore, the lowest common multiple of 506,852,901,799 is 9128149932.

LCM Formula to Find Lowest Common Multiple of 506,852,901,799

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.

506 x 852 x 901 x 799 = 310357097688

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

901 : 1, 17, 53, 901

799 : 1, 17, 47, 799

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,852,901,799, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

852:2x 2x 3x 71

901:17x 53

799:17x 47

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 310357097688/(1x34)

LCM = 310357097688/34

LCM = 9128149932

Thus, we can understand that the LCM of 506,852,901,799 is 9128149932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 852, 901, 799

1. What is the LCM of 506, 852, 901, 799?

Answer: LCM of 506, 852, 901, 799 is 9128149932.

2. How to calculate the LCM of 506, 852, 901, 799?

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 506, 852, 901, 799.

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}.