LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 484, 334, 493, 748

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


Find the LCM of 484, 334, 493, 748 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 484, 334, 493, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,334,493,748

Given numbers are 484,334,493,748

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

The LCM of 484,334,493,748 is 39848204.

Find LCM of 484,334,493,748 with Prime Factorization


2 484, 334, 493, 748
2 242, 167, 493, 374
11 121, 167, 493, 187
17 11, 167, 493, 17
11, 167, 29, 1

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

2 x 2 x 11 x 17 x 11 x 167 x 29 x 1 = 39848204

Therefore, the lowest common multiple of 484,334,493,748 is 39848204.

LCM Formula to Find Lowest Common Multiple of 484,334,493,748

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.

484 x 334 x 493 x 748 = 59612913184

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

334 : 1, 2, 167, 334

493 : 1, 17, 29, 493

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,334,493,748, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

334:2x 167

493:17x 29

748:2x 2x 11x 17

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 2x 11x 17 = 1496

Therefore, the value for common factors is 1496.

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 = 59612913184/(1x1496)

LCM = 59612913184/1496

LCM = 39848204

Thus, we can understand that the LCM of 484,334,493,748 is 39848204.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 334, 493, 748

1. What is the LCM of 484, 334, 493, 748?

Answer: LCM of 484, 334, 493, 748 is 39848204.

2. How to calculate the LCM of 484, 334, 493, 748?

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 484, 334, 493, 748.

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}.