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LCM of 513, 986, 924, 181

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


Find the LCM of 513, 986, 924, 181 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 513, 986, 924, 181. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 513,986,924,181

Given numbers are 513,986,924,181

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

The LCM of 513,986,924,181 is 14099170932.

Find LCM of 513,986,924,181 with Prime Factorization


2 513, 986, 924, 181
3 513, 493, 462, 181
171, 493, 154, 181

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

2 x 3 x 171 x 493 x 154 x 181 = 14099170932

Therefore, the lowest common multiple of 513,986,924,181 is 14099170932.

LCM Formula to Find Lowest Common Multiple of 513,986,924,181

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.

513 x 986 x 924 x 181 = 84595025592

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

986 : 1, 2, 17, 29, 34, 58, 493, 986

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

181 : 1, 181

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,986,924,181, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

986:2x 17x 29

924:2x 2x 3x 7x 11

181:181

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 84595025592/(1x6)

LCM = 84595025592/6

LCM = 14099170932

Thus, we can understand that the LCM of 513,986,924,181 is 14099170932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 513, 986, 924, 181

1. What is the LCM of 513, 986, 924, 181?

Answer: LCM of 513, 986, 924, 181 is 14099170932.

2. How to calculate the LCM of 513, 986, 924, 181?

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 513, 986, 924, 181.

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}.