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LCM of 748, 493, 606, 813

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


Find the LCM of 748, 493, 606, 813 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 748, 493, 606, 813. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,493,606,813

Given numbers are 748,493,606,813

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

The LCM of 748,493,606,813 is 1781195196.

Find LCM of 748,493,606,813 with Prime Factorization


2 748, 493, 606, 813
3 374, 493, 303, 813
17 374, 493, 101, 271
22, 29, 101, 271

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

2 x 3 x 17 x 22 x 29 x 101 x 271 = 1781195196

Therefore, the lowest common multiple of 748,493,606,813 is 1781195196.

LCM Formula to Find Lowest Common Multiple of 748,493,606,813

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.

748 x 493 x 606 x 813 = 181681909992

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

493 : 1, 17, 29, 493

606 : 1, 2, 3, 6, 101, 202, 303, 606

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,493,606,813, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

493:17x 29

606:2x 3x 101

813:3x 271

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

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 181681909992/(1x102)

LCM = 181681909992/102

LCM = 1781195196

Thus, we can understand that the LCM of 748,493,606,813 is 1781195196.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 493, 606, 813

1. What is the LCM of 748, 493, 606, 813?

Answer: LCM of 748, 493, 606, 813 is 1781195196.

2. How to calculate the LCM of 748, 493, 606, 813?

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 748, 493, 606, 813.

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}.