LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 559, 578, 793, 714, 550

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


Find the LCM of 559, 578, 793, 714, 550 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 559, 578, 793, 714, 550. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 559,578,793,714,550

Given numbers are 559,578,793,714,550

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

The LCM of 559,578,793,714,550 is 113820757050.

Find LCM of 559,578,793,714,550 with Prime Factorization


2 559, 578, 793, 714, 550
13 559, 289, 793, 357, 275
17 43, 289, 61, 357, 275
43, 17, 61, 21, 275

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

2 x 13 x 17 x 43 x 17 x 61 x 21 x 275 = 113820757050

Therefore, the lowest common multiple of 559,578,793,714,550 is 113820757050.

LCM Formula to Find Lowest Common Multiple of 559,578,793,714,550

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.

559 x 578 x 793 x 714 x 550 = 100617549232200

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.

559 : 1, 13, 43, 559

578 : 1, 2, 17, 34, 289, 578

793 : 1, 13, 61, 793

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,578,793,714,550, is 1.

Now, the common factors can be found like this.

559:13x 43

578:2x 17x 17

793:13x 61

714:2x 3x 7x 17

550:2x 5x 5x 11

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 13x 17 = 884

Therefore, the value for common factors is 884.

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 = 100617549232200/(1x884)

LCM = 100617549232200/884

LCM = 113820757050

Thus, we can understand that the LCM of 559,578,793,714,550 is 113820757050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 559, 578, 793, 714, 550

1. What is the LCM of 559, 578, 793, 714, 550?

Answer: LCM of 559, 578, 793, 714, 550 is 113820757050.

2. How to calculate the LCM of 559, 578, 793, 714, 550?

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 559, 578, 793, 714, 550.

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}.