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LCM of 524, 802, 802, 494

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


Find the LCM of 524, 802, 802, 494 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 524, 802, 802, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,802,802,494

Given numbers are 524,802,802,494

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

The LCM of 524,802,802,494 is 51900628.

Find LCM of 524,802,802,494 with Prime Factorization


2 524, 802, 802, 494
401 262, 401, 401, 247
262, 1, 1, 247

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

2 x 401 x 262 x 1 x 1 x 247 = 51900628

Therefore, the lowest common multiple of 524,802,802,494 is 51900628.

LCM Formula to Find Lowest Common Multiple of 524,802,802,494

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.

524 x 802 x 802 x 494 = 166497214624

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.

524 : 1, 2, 4, 131, 262, 524

802 : 1, 2, 401, 802

802 : 1, 2, 401, 802

494 : 1, 2, 13, 19, 26, 38, 247, 494

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,802,802,494, is 2.

Now, the common factors can be found like this.

524:2x 2x 131

802:2x 401

802:2x 401

494:2x 13x 19

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 401 = 1604

Therefore, the value for common factors is 1604.

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 = 166497214624/(2x1604)

LCM = 166497214624/3208

LCM = 51900628

Thus, we can understand that the LCM of 524,802,802,494 is 51900628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 802, 802, 494

1. What is the LCM of 524, 802, 802, 494?

Answer: LCM of 524, 802, 802, 494 is 51900628.

2. How to calculate the LCM of 524, 802, 802, 494?

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 524, 802, 802, 494.

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}.