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LCM of 550, 967, 572, 502, 880

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


Find the LCM of 550, 967, 572, 502, 880 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, 967, 572, 502, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 550,967,572,502,880

Given numbers are 550,967,572,502,880

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

The LCM of 550,967,572,502,880 is 13883412400.

Find LCM of 550,967,572,502,880 with Prime Factorization


2 550, 967, 572, 502, 880
2 275, 967, 286, 251, 440
5 275, 967, 143, 251, 220
11 55, 967, 143, 251, 44
5, 967, 13, 251, 4

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

2 x 2 x 5 x 11 x 5 x 967 x 13 x 251 x 4 = 13883412400

Therefore, the lowest common multiple of 550,967,572,502,880 is 13883412400.

LCM Formula to Find Lowest Common Multiple of 550,967,572,502,880

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 967 x 572 x 502 x 880 = 134391432032000

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

967 : 1, 967

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

502 : 1, 2, 251, 502

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,967,572,502,880, is 1.

Now, the common factors can be found like this.

550:2x 5x 5x 11

967:967

572:2x 2x 11x 13

502:2x 251

880:2x 2x 2x 2x 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 2x 2x 5x 11x 11 = 9680

Therefore, the value for common factors is 9680.

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 = 134391432032000/(1x9680)

LCM = 134391432032000/9680

LCM = 13883412400

Thus, we can understand that the LCM of 550,967,572,502,880 is 13883412400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 550, 967, 572, 502, 880

1. What is the LCM of 550, 967, 572, 502, 880?

Answer: LCM of 550, 967, 572, 502, 880 is 13883412400.

2. How to calculate the LCM of 550, 967, 572, 502, 880?

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, 967, 572, 502, 880.

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}.