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LCM of 583, 543, 319, 370

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


Find the LCM of 583, 543, 319, 370 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 583, 543, 319, 370. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 583,543,319,370

Given numbers are 583,543,319,370

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

The LCM of 583,543,319,370 is 3396785370.

Find LCM of 583,543,319,370 with Prime Factorization


11 583, 543, 319, 370
53, 543, 29, 370

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

11 x 53 x 543 x 29 x 370 = 3396785370

Therefore, the lowest common multiple of 583,543,319,370 is 3396785370.

LCM Formula to Find Lowest Common Multiple of 583,543,319,370

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.

583 x 543 x 319 x 370 = 37364639070

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.

583 : 1, 11, 53, 583

543 : 1, 3, 181, 543

319 : 1, 11, 29, 319

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,543,319,370, is 1.

Now, the common factors can be found like this.

583:11x 53

543:3x 181

319:11x 29

370:2x 5x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 37364639070/(1x11)

LCM = 37364639070/11

LCM = 3396785370

Thus, we can understand that the LCM of 583,543,319,370 is 3396785370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 583, 543, 319, 370

1. What is the LCM of 583, 543, 319, 370?

Answer: LCM of 583, 543, 319, 370 is 3396785370.

2. How to calculate the LCM of 583, 543, 319, 370?

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 583, 543, 319, 370.

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}.