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LCM of 570, 730, 228, 993, 675

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


Find the LCM of 570, 730, 228, 993, 675 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, 730, 228, 993, 675. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,730,228,993,675

Given numbers are 570,730,228,993,675

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

The LCM of 570,730,228,993,675 is 1239561900.

Find LCM of 570,730,228,993,675 with Prime Factorization


2 570, 730, 228, 993, 675
3 285, 365, 114, 993, 675
5 95, 365, 38, 331, 225
19 19, 73, 38, 331, 45
1, 73, 2, 331, 45

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

2 x 3 x 5 x 19 x 1 x 73 x 2 x 331 x 45 = 1239561900

Therefore, the lowest common multiple of 570,730,228,993,675 is 1239561900.

LCM Formula to Find Lowest Common Multiple of 570,730,228,993,675

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 730 x 228 x 993 x 675 = 63589525470000

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

730 : 1, 2, 5, 10, 73, 146, 365, 730

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

993 : 1, 3, 331, 993

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,730,228,993,675, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

730:2x 5x 73

228:2x 2x 3x 19

993:3x 331

675:3x 3x 3x 5x 5

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 3x 3x 3x 5x 5x 19 = 51300

Therefore, the value for common factors is 51300.

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 = 63589525470000/(1x51300)

LCM = 63589525470000/51300

LCM = 1239561900

Thus, we can understand that the LCM of 570,730,228,993,675 is 1239561900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 570, 730, 228, 993, 675

1. What is the LCM of 570, 730, 228, 993, 675?

Answer: LCM of 570, 730, 228, 993, 675 is 1239561900.

2. How to calculate the LCM of 570, 730, 228, 993, 675?

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, 730, 228, 993, 675.

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}.