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LCM of 386, 598, 493, 973

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


Find the LCM of 386, 598, 493, 973 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 386, 598, 493, 973. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,598,493,973

Given numbers are 386,598,493,973

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

The LCM of 386,598,493,973 is 55362826246.

Find LCM of 386,598,493,973 with Prime Factorization


2 386, 598, 493, 973
193, 299, 493, 973

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

2 x 193 x 299 x 493 x 973 = 55362826246

Therefore, the lowest common multiple of 386,598,493,973 is 55362826246.

LCM Formula to Find Lowest Common Multiple of 386,598,493,973

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.

386 x 598 x 493 x 973 = 110725652492

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.

386 : 1, 2, 193, 386

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

493 : 1, 17, 29, 493

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,598,493,973, is 1.

Now, the common factors can be found like this.

386:2x 193

598:2x 13x 23

493:17x 29

973:7x 139

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

2 = 2

Therefore, the value for common factors is 2.

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 = 110725652492/(1x2)

LCM = 110725652492/2

LCM = 55362826246

Thus, we can understand that the LCM of 386,598,493,973 is 55362826246.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 598, 493, 973

1. What is the LCM of 386, 598, 493, 973?

Answer: LCM of 386, 598, 493, 973 is 55362826246.

2. How to calculate the LCM of 386, 598, 493, 973?

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 386, 598, 493, 973.

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}.