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LCM of 880, 230, 791, 113, 552

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


Find the LCM of 880, 230, 791, 113, 552 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 880, 230, 791, 113, 552. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,230,791,113,552

Given numbers are 880,230,791,113,552

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

The LCM of 880,230,791,113,552 is 48029520.

Find LCM of 880,230,791,113,552 with Prime Factorization


2 880, 230, 791, 113, 552
2 440, 115, 791, 113, 276
2 220, 115, 791, 113, 138
5 110, 115, 791, 113, 69
23 22, 23, 791, 113, 69
113 22, 1, 791, 113, 3
22, 1, 7, 1, 3

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

2 x 2 x 2 x 5 x 23 x 113 x 22 x 1 x 7 x 1 x 3 = 48029520

Therefore, the lowest common multiple of 880,230,791,113,552 is 48029520.

LCM Formula to Find Lowest Common Multiple of 880,230,791,113,552

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.

880 x 230 x 791 x 113 x 552 = 9986297798400

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.

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

791 : 1, 7, 113, 791

113 : 1, 113

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,230,791,113,552, is 1.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

230:2x 5x 23

791:7x 113

113:113

552:2x 2x 2x 3x 23

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 23x 113 = 207920

Therefore, the value for common factors is 207920.

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 = 9986297798400/(1x207920)

LCM = 9986297798400/207920

LCM = 48029520

Thus, we can understand that the LCM of 880,230,791,113,552 is 48029520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 230, 791, 113, 552

1. What is the LCM of 880, 230, 791, 113, 552?

Answer: LCM of 880, 230, 791, 113, 552 is 48029520.

2. How to calculate the LCM of 880, 230, 791, 113, 552?

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 880, 230, 791, 113, 552.

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}.