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LCM of 550, 921, 702, 403, 728

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


Find the LCM of 550, 921, 702, 403, 728 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 550, 921, 702, 403, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 550,921,702,403,728

Given numbers are 550,921,702,403,728

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

The LCM of 550,921,702,403,728 is 51443191800.

Find LCM of 550,921,702,403,728 with Prime Factorization


2 550, 921, 702, 403, 728
3 275, 921, 351, 403, 364
13 275, 307, 117, 403, 364
275, 307, 9, 31, 28

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

2 x 3 x 13 x 275 x 307 x 9 x 31 x 28 = 51443191800

Therefore, the lowest common multiple of 550,921,702,403,728 is 51443191800.

LCM Formula to Find Lowest Common Multiple of 550,921,702,403,728

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.

550 x 921 x 702 x 403 x 728 = 104326792970400

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.

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

921 : 1, 3, 307, 921

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

403 : 1, 13, 31, 403

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,921,702,403,728, is 1.

Now, the common factors can be found like this.

550:2x 5x 5x 11

921:3x 307

702:2x 3x 3x 3x 13

403:13x 31

728:2x 2x 2x 7x 13

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 3x 13x 13 = 2028

Therefore, the value for common factors is 2028.

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 = 104326792970400/(1x2028)

LCM = 104326792970400/2028

LCM = 51443191800

Thus, we can understand that the LCM of 550,921,702,403,728 is 51443191800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 550, 921, 702, 403, 728

1. What is the LCM of 550, 921, 702, 403, 728?

Answer: LCM of 550, 921, 702, 403, 728 is 51443191800.

2. How to calculate the LCM of 550, 921, 702, 403, 728?

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 550, 921, 702, 403, 728.

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}.