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LCM of 464, 101, 989, 506

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


Find the LCM of 464, 101, 989, 506 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 464, 101, 989, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 464,101,989,506

Given numbers are 464,101,989,506

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

The LCM of 464,101,989,506 is 509833456.

Find LCM of 464,101,989,506 with Prime Factorization


2 464, 101, 989, 506
23 232, 101, 989, 253
232, 101, 43, 11

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

2 x 23 x 232 x 101 x 43 x 11 = 509833456

Therefore, the lowest common multiple of 464,101,989,506 is 509833456.

LCM Formula to Find Lowest Common Multiple of 464,101,989,506

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.

464 x 101 x 989 x 506 = 23452338976

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

101 : 1, 101

989 : 1, 23, 43, 989

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,101,989,506, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

101:101

989:23x 43

506:2x 11x 23

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 23452338976/(1x46)

LCM = 23452338976/46

LCM = 509833456

Thus, we can understand that the LCM of 464,101,989,506 is 509833456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 464, 101, 989, 506

1. What is the LCM of 464, 101, 989, 506?

Answer: LCM of 464, 101, 989, 506 is 509833456.

2. How to calculate the LCM of 464, 101, 989, 506?

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 464, 101, 989, 506.

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}.