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LCM of 571, 185, 741, 570

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


Find the LCM of 571, 185, 741, 570 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 571, 185, 741, 570. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 571,185,741,570

Given numbers are 571,185,741,570

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

The LCM of 571,185,741,570 is 156551070.

Find LCM of 571,185,741,570 with Prime Factorization


3 571, 185, 741, 570
5 571, 185, 247, 190
19 571, 37, 247, 38
571, 37, 13, 2

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

3 x 5 x 19 x 571 x 37 x 13 x 2 = 156551070

Therefore, the lowest common multiple of 571,185,741,570 is 156551070.

LCM Formula to Find Lowest Common Multiple of 571,185,741,570

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.

571 x 185 x 741 x 570 = 44617054950

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.

571 : 1, 571

185 : 1, 5, 37, 185

741 : 1, 3, 13, 19, 39, 57, 247, 741

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,185,741,570, is 1.

Now, the common factors can be found like this.

571:571

185:5x 37

741:3x 13x 19

570:2x 3x 5x 19

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

3x 5x 19 = 285

Therefore, the value for common factors is 285.

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 = 44617054950/(1x285)

LCM = 44617054950/285

LCM = 156551070

Thus, we can understand that the LCM of 571,185,741,570 is 156551070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 571, 185, 741, 570

1. What is the LCM of 571, 185, 741, 570?

Answer: LCM of 571, 185, 741, 570 is 156551070.

2. How to calculate the LCM of 571, 185, 741, 570?

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 571, 185, 741, 570.

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}.