What are the Factors of 3477053890464 ?

Factors of 3477053890464 are . There are integers that are factors of 3477053890464.

How to Find the LCM of 928, 749, 407, 723, 493 ?

Least Common Multiple of 928, 749, 407, 723, 493 = 3477053890464 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(928, 749, 407, 723, 493) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 17 x 29 x 37 x 107 x 241 = 3477053890464.

What are the Factors of 3477053890464 ?

Factors of 3477053890464 are . There are integers that are factors of 3477053890464.

How to Find the LCM of 928, 749, 407, 723, 493 ?

Least Common Multiple of 928, 749, 407, 723, 493 = 3477053890464 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(928, 749, 407, 723, 493) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 17 x 29 x 37 x 107 x 241 = 3477053890464.

LCM of 928, 749, 407, 723, 493

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

Find the LCM of 928, 749, 407, 723, 493 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 928, 749, 407, 723, 493. So, keep reading to learn more.

Calculate the LCM of 928,749,407,723,493

Given numbers are 928,749,407,723,493

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

The LCM of 928,749,407,723,493 is 3477053890464.

Find LCM of 928,749,407,723,493 with Prime Factorization

29	928, 749, 407, 723, 493
	32, 749, 407, 723, 17

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

29 x 32 x 749 x 407 x 723 x 17 = 3477053890464

Therefore, the lowest common multiple of 928,749,407,723,493 is 3477053890464.

LCM Formula to Find Lowest Common Multiple of 928,749,407,723,493

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.

928 x 749 x 407 x 723 x 493 = 100834562823456

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

749 : 1, 7, 107, 749

407 : 1, 11, 37, 407

723 : 1, 3, 241, 723

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,749,407,723,493, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

749:7x 107

407:11x 37

723:3x 241

493:17x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 100834562823456/(1x29)

LCM = 100834562823456/29

LCM = 3477053890464

Thus, we can understand that the LCM of 928,749,407,723,493 is 3477053890464.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 928, 749, 407, 723, 493

1. What is the LCM of 928, 749, 407, 723, 493?

Answer: LCM of 928, 749, 407, 723, 493 is 3477053890464.

2. How to calculate the LCM of 928, 749, 407, 723, 493?

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 928, 749, 407, 723, 493.

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}.