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LCM of 882, 232, 150, 962, 431

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


Find the LCM of 882, 232, 150, 962, 431 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 882, 232, 150, 962, 431. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,232,150,962,431

Given numbers are 882,232,150,962,431

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

The LCM of 882,232,150,962,431 is 530260075800.

Find LCM of 882,232,150,962,431 with Prime Factorization


2 882, 232, 150, 962, 431
3 441, 116, 75, 481, 431
147, 116, 25, 481, 431

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

2 x 3 x 147 x 116 x 25 x 481 x 431 = 530260075800

Therefore, the lowest common multiple of 882,232,150,962,431 is 530260075800.

LCM Formula to Find Lowest Common Multiple of 882,232,150,962,431

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.

882 x 232 x 150 x 962 x 431 = 12726241819200

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.

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

232 : 1, 2, 4, 8, 29, 58, 116, 232

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

962 : 1, 2, 13, 26, 37, 74, 481, 962

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,232,150,962,431, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

232:2x 2x 2x 29

150:2x 3x 5x 5

962:2x 13x 37

431:431

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 3 = 24

Therefore, the value for common factors is 24.

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 = 12726241819200/(1x24)

LCM = 12726241819200/24

LCM = 530260075800

Thus, we can understand that the LCM of 882,232,150,962,431 is 530260075800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 232, 150, 962, 431

1. What is the LCM of 882, 232, 150, 962, 431?

Answer: LCM of 882, 232, 150, 962, 431 is 530260075800.

2. How to calculate the LCM of 882, 232, 150, 962, 431?

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 882, 232, 150, 962, 431.

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}.