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LCM of 391, 598, 644, 453

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


Find the LCM of 391, 598, 644, 453 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 391, 598, 644, 453. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,598,644,453

Given numbers are 391,598,644,453

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

The LCM of 391,598,644,453 is 64472772.

Find LCM of 391,598,644,453 with Prime Factorization


2 391, 598, 644, 453
23 391, 299, 322, 453
17, 13, 14, 453

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

2 x 23 x 17 x 13 x 14 x 453 = 64472772

Therefore, the lowest common multiple of 391,598,644,453 is 64472772.

LCM Formula to Find Lowest Common Multiple of 391,598,644,453

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.

391 x 598 x 644 x 453 = 68212192776

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.

391 : 1, 17, 23, 391

598 : 1, 2, 13, 23, 26, 46, 299, 598

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

453 : 1, 3, 151, 453

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,598,644,453, is 1.

Now, the common factors can be found like this.

391:17x 23

598:2x 13x 23

644:2x 2x 7x 23

453:3x 151

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

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 68212192776/(1x1058)

LCM = 68212192776/1058

LCM = 64472772

Thus, we can understand that the LCM of 391,598,644,453 is 64472772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 598, 644, 453

1. What is the LCM of 391, 598, 644, 453?

Answer: LCM of 391, 598, 644, 453 is 64472772.

2. How to calculate the LCM of 391, 598, 644, 453?

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 391, 598, 644, 453.

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}.