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LCM of 559, 749, 471, 582, 902

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


Find the LCM of 559, 749, 471, 582, 902 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, 749, 471, 582, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 559,749,471,582,902

Given numbers are 559,749,471,582,902

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

The LCM of 559,749,471,582,902 is 17254119616734.

Find LCM of 559,749,471,582,902 with Prime Factorization


2 559, 749, 471, 582, 902
3 559, 749, 471, 291, 451
559, 749, 157, 97, 451

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

2 x 3 x 559 x 749 x 157 x 97 x 451 = 17254119616734

Therefore, the lowest common multiple of 559,749,471,582,902 is 17254119616734.

LCM Formula to Find Lowest Common Multiple of 559,749,471,582,902

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 749 x 471 x 582 x 902 = 103524717700404

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

749 : 1, 7, 107, 749

471 : 1, 3, 157, 471

582 : 1, 2, 3, 6, 97, 194, 291, 582

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,749,471,582,902, is 1.

Now, the common factors can be found like this.

559:13x 43

749:7x 107

471:3x 157

582:2x 3x 97

902:2x 11x 41

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 103524717700404/(1x6)

LCM = 103524717700404/6

LCM = 17254119616734

Thus, we can understand that the LCM of 559,749,471,582,902 is 17254119616734.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 559, 749, 471, 582, 902

1. What is the LCM of 559, 749, 471, 582, 902?

Answer: LCM of 559, 749, 471, 582, 902 is 17254119616734.

2. How to calculate the LCM of 559, 749, 471, 582, 902?

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, 749, 471, 582, 902.

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}.