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LCM of 347, 557, 445, 902, 624

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


Find the LCM of 347, 557, 445, 902, 624 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 347, 557, 445, 902, 624. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,557,445,902,624

Given numbers are 347,557,445,902,624

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

The LCM of 347,557,445,902,624 is 24205040436720.

Find LCM of 347,557,445,902,624 with Prime Factorization


2 347, 557, 445, 902, 624
347, 557, 445, 451, 312

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

2 x 347 x 557 x 445 x 451 x 312 = 24205040436720

Therefore, the lowest common multiple of 347,557,445,902,624 is 24205040436720.

LCM Formula to Find Lowest Common Multiple of 347,557,445,902,624

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.

347 x 557 x 445 x 902 x 624 = 48410080873440

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.

347 : 1, 347

557 : 1, 557

445 : 1, 5, 89, 445

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,557,445,902,624, is 1.

Now, the common factors can be found like this.

347:347

557:557

445:5x 89

902:2x 11x 41

624:2x 2x 2x 2x 3x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 48410080873440/(1x2)

LCM = 48410080873440/2

LCM = 24205040436720

Thus, we can understand that the LCM of 347,557,445,902,624 is 24205040436720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 557, 445, 902, 624

1. What is the LCM of 347, 557, 445, 902, 624?

Answer: LCM of 347, 557, 445, 902, 624 is 24205040436720.

2. How to calculate the LCM of 347, 557, 445, 902, 624?

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 347, 557, 445, 902, 624.

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}.