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LCM of 409, 749, 454, 642

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


Find the LCM of 409, 749, 454, 642 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 409, 749, 454, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,749,454,642

Given numbers are 409,749,454,642

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

The LCM of 409,749,454,642 is 417236442.

Find LCM of 409,749,454,642 with Prime Factorization


2 409, 749, 454, 642
107 409, 749, 227, 321
409, 7, 227, 3

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

2 x 107 x 409 x 7 x 227 x 3 = 417236442

Therefore, the lowest common multiple of 409,749,454,642 is 417236442.

LCM Formula to Find Lowest Common Multiple of 409,749,454,642

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.

409 x 749 x 454 x 642 = 89288598588

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.

409 : 1, 409

749 : 1, 7, 107, 749

454 : 1, 2, 227, 454

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,749,454,642, is 1.

Now, the common factors can be found like this.

409:409

749:7x 107

454:2x 227

642:2x 3x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 89288598588/(1x214)

LCM = 89288598588/214

LCM = 417236442

Thus, we can understand that the LCM of 409,749,454,642 is 417236442.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 749, 454, 642

1. What is the LCM of 409, 749, 454, 642?

Answer: LCM of 409, 749, 454, 642 is 417236442.

2. How to calculate the LCM of 409, 749, 454, 642?

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 409, 749, 454, 642.

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}.