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LCM of 962, 132, 559, 592

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


Find the LCM of 962, 132, 559, 592 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 962, 132, 559, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 962,132,559,592

Given numbers are 962,132,559,592

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

The LCM of 962,132,559,592 is 10920624.

Find LCM of 962,132,559,592 with Prime Factorization


2 962, 132, 559, 592
2 481, 66, 559, 296
13 481, 33, 559, 148
37 37, 33, 43, 148
1, 33, 43, 4

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

2 x 2 x 13 x 37 x 1 x 33 x 43 x 4 = 10920624

Therefore, the lowest common multiple of 962,132,559,592 is 10920624.

LCM Formula to Find Lowest Common Multiple of 962,132,559,592

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.

962 x 132 x 559 x 592 = 42022561152

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.

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

559 : 1, 13, 43, 559

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,132,559,592, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

132:2x 2x 3x 11

559:13x 43

592:2x 2x 2x 2x 37

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 13x 37 = 3848

Therefore, the value for common factors is 3848.

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 = 42022561152/(1x3848)

LCM = 42022561152/3848

LCM = 10920624

Thus, we can understand that the LCM of 962,132,559,592 is 10920624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 962, 132, 559, 592

1. What is the LCM of 962, 132, 559, 592?

Answer: LCM of 962, 132, 559, 592 is 10920624.

2. How to calculate the LCM of 962, 132, 559, 592?

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 962, 132, 559, 592.

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}.