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LCM of 570, 146, 836, 924, 747

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


Find the LCM of 570, 146, 836, 924, 747 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 570, 146, 836, 924, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,146,836,924,747

Given numbers are 570,146,836,924,747

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

The LCM of 570,146,836,924,747 is 1595577060.

Find LCM of 570,146,836,924,747 with Prime Factorization


2 570, 146, 836, 924, 747
2 285, 73, 418, 462, 747
3 285, 73, 209, 231, 747
11 95, 73, 209, 77, 249
19 95, 73, 19, 7, 249
5, 73, 1, 7, 249

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

2 x 2 x 3 x 11 x 19 x 5 x 73 x 1 x 7 x 249 = 1595577060

Therefore, the lowest common multiple of 570,146,836,924,747 is 1595577060.

LCM Formula to Find Lowest Common Multiple of 570,146,836,924,747

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.

570 x 146 x 836 x 924 x 747 = 48020487197760

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

146 : 1, 2, 73, 146

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,146,836,924,747, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

146:2x 73

836:2x 2x 11x 19

924:2x 2x 3x 7x 11

747:3x 3x 83

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 3x 3x 11x 19 = 30096

Therefore, the value for common factors is 30096.

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 = 48020487197760/(1x30096)

LCM = 48020487197760/30096

LCM = 1595577060

Thus, we can understand that the LCM of 570,146,836,924,747 is 1595577060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 570, 146, 836, 924, 747

1. What is the LCM of 570, 146, 836, 924, 747?

Answer: LCM of 570, 146, 836, 924, 747 is 1595577060.

2. How to calculate the LCM of 570, 146, 836, 924, 747?

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 570, 146, 836, 924, 747.

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}.