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 388, 224, 846, 194, 521

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


Find the LCM of 388, 224, 846, 194, 521 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 388, 224, 846, 194, 521. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 388,224,846,194,521

Given numbers are 388,224,846,194,521

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

The LCM of 388,224,846,194,521 is 4788481824.

Find LCM of 388,224,846,194,521 with Prime Factorization


2 388, 224, 846, 194, 521
2 194, 112, 423, 97, 521
97 97, 56, 423, 97, 521
1, 56, 423, 1, 521

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

2 x 2 x 97 x 1 x 56 x 423 x 1 x 521 = 4788481824

Therefore, the lowest common multiple of 388,224,846,194,521 is 4788481824.

LCM Formula to Find Lowest Common Multiple of 388,224,846,194,521

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.

388 x 224 x 846 x 194 x 521 = 7431723790848

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.

388 : 1, 2, 4, 97, 194, 388

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

194 : 1, 2, 97, 194

521 : 1, 521

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,224,846,194,521, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

224:2x 2x 2x 2x 2x 7

846:2x 3x 3x 47

194:2x 97

521:521

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 2x 97 = 1552

Therefore, the value for common factors is 1552.

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 = 7431723790848/(1x1552)

LCM = 7431723790848/1552

LCM = 4788481824

Thus, we can understand that the LCM of 388,224,846,194,521 is 4788481824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 388, 224, 846, 194, 521

1. What is the LCM of 388, 224, 846, 194, 521?

Answer: LCM of 388, 224, 846, 194, 521 is 4788481824.

2. How to calculate the LCM of 388, 224, 846, 194, 521?

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 388, 224, 846, 194, 521.

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}.