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LCM of 917, 638, 737, 321

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


Find the LCM of 917, 638, 737, 321 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 917, 638, 737, 321. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,638,737,321

Given numbers are 917,638,737,321

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

The LCM of 917,638,737,321 is 12582584322.

Find LCM of 917,638,737,321 with Prime Factorization


11 917, 638, 737, 321
917, 58, 67, 321

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

11 x 917 x 58 x 67 x 321 = 12582584322

Therefore, the lowest common multiple of 917,638,737,321 is 12582584322.

LCM Formula to Find Lowest Common Multiple of 917,638,737,321

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.

917 x 638 x 737 x 321 = 138408427542

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.

917 : 1, 7, 131, 917

638 : 1, 2, 11, 22, 29, 58, 319, 638

737 : 1, 11, 67, 737

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,638,737,321, is 1.

Now, the common factors can be found like this.

917:7x 131

638:2x 11x 29

737:11x 67

321:3x 107

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 = 138408427542/(1x11)

LCM = 138408427542/11

LCM = 12582584322

Thus, we can understand that the LCM of 917,638,737,321 is 12582584322.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 638, 737, 321

1. What is the LCM of 917, 638, 737, 321?

Answer: LCM of 917, 638, 737, 321 is 12582584322.

2. How to calculate the LCM of 917, 638, 737, 321?

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 917, 638, 737, 321.

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}.