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LCM of 453, 806, 814, 962

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


Find the LCM of 453, 806, 814, 962 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 453, 806, 814, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 453,806,814,962

Given numbers are 453,806,814,962

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

The LCM of 453,806,814,962 is 148603026.

Find LCM of 453,806,814,962 with Prime Factorization


2 453, 806, 814, 962
13 453, 403, 407, 481
37 453, 31, 407, 37
453, 31, 11, 1

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

2 x 13 x 37 x 453 x 31 x 11 x 1 = 148603026

Therefore, the lowest common multiple of 453,806,814,962 is 148603026.

LCM Formula to Find Lowest Common Multiple of 453,806,814,962

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.

453 x 806 x 814 x 962 = 285912222024

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.

453 : 1, 3, 151, 453

806 : 1, 2, 13, 26, 31, 62, 403, 806

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,806,814,962, is 1.

Now, the common factors can be found like this.

453:3x 151

806:2x 13x 31

814:2x 11x 37

962:2x 13x 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 13x 37 = 1924

Therefore, the value for common factors is 1924.

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 = 285912222024/(1x1924)

LCM = 285912222024/1924

LCM = 148603026

Thus, we can understand that the LCM of 453,806,814,962 is 148603026.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 453, 806, 814, 962

1. What is the LCM of 453, 806, 814, 962?

Answer: LCM of 453, 806, 814, 962 is 148603026.

2. How to calculate the LCM of 453, 806, 814, 962?

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 453, 806, 814, 962.

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}.