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LCM of 962, 962, 595, 757

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


Find the LCM of 962, 962, 595, 757 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, 962, 595, 757. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 962,962,595,757

Given numbers are 962,962,595,757

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

The LCM of 962,962,595,757 is 433299230.

Find LCM of 962,962,595,757 with Prime Factorization


2 962, 962, 595, 757
13 481, 481, 595, 757
37 37, 37, 595, 757
1, 1, 595, 757

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

2 x 13 x 37 x 1 x 1 x 595 x 757 = 433299230

Therefore, the lowest common multiple of 962,962,595,757 is 433299230.

LCM Formula to Find Lowest Common Multiple of 962,962,595,757

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 962 x 595 x 757 = 416833859260

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

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

595 : 1, 5, 7, 17, 35, 85, 119, 595

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,962,595,757, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

962:2x 13x 37

595:5x 7x 17

757:757

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13x 37 = 962

Therefore, the value for common factors is 962.

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 = 416833859260/(1x962)

LCM = 416833859260/962

LCM = 433299230

Thus, we can understand that the LCM of 962,962,595,757 is 433299230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 962, 962, 595, 757

1. What is the LCM of 962, 962, 595, 757?

Answer: LCM of 962, 962, 595, 757 is 433299230.

2. How to calculate the LCM of 962, 962, 595, 757?

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, 962, 595, 757.

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}.