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LCM of 506, 598, 548, 402, 808

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


Find the LCM of 506, 598, 548, 402, 808 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, 598, 548, 402, 808. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,598,548,402,808

Given numbers are 506,598,548,402,808

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

The LCM of 506,598,548,402,808 is 73179907944.

Find LCM of 506,598,548,402,808 with Prime Factorization


2 506, 598, 548, 402, 808
2 253, 299, 274, 201, 404
23 253, 299, 137, 201, 202
11, 13, 137, 201, 202

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

2 x 2 x 23 x 11 x 13 x 137 x 201 x 202 = 73179907944

Therefore, the lowest common multiple of 506,598,548,402,808 is 73179907944.

LCM Formula to Find Lowest Common Multiple of 506,598,548,402,808

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 598 x 548 x 402 x 808 = 53860412246784

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

548 : 1, 2, 4, 137, 274, 548

402 : 1, 2, 3, 6, 67, 134, 201, 402

808 : 1, 2, 4, 8, 101, 202, 404, 808

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,598,548,402,808, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

598:2x 13x 23

548:2x 2x 137

402:2x 3x 67

808:2x 2x 2x 101

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

2x 2x 2x 2x 23 = 368

Therefore, the value for common factors is 368.

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 = 53860412246784/(2x368)

LCM = 53860412246784/736

LCM = 73179907944

Thus, we can understand that the LCM of 506,598,548,402,808 is 73179907944.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 598, 548, 402, 808

1. What is the LCM of 506, 598, 548, 402, 808?

Answer: LCM of 506, 598, 548, 402, 808 is 73179907944.

2. How to calculate the LCM of 506, 598, 548, 402, 808?

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, 598, 548, 402, 808.

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}.