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LCM of 428, 767, 343, 374, 409

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


Find the LCM of 428, 767, 343, 374, 409 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 428, 767, 343, 374, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,767,343,374,409

Given numbers are 428,767,343,374,409

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

The LCM of 428,767,343,374,409 is 8611883924644.

Find LCM of 428,767,343,374,409 with Prime Factorization


2 428, 767, 343, 374, 409
214, 767, 343, 187, 409

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

2 x 214 x 767 x 343 x 187 x 409 = 8611883924644

Therefore, the lowest common multiple of 428,767,343,374,409 is 8611883924644.

LCM Formula to Find Lowest Common Multiple of 428,767,343,374,409

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.

428 x 767 x 343 x 374 x 409 = 17223767849288

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.

428 : 1, 2, 4, 107, 214, 428

767 : 1, 13, 59, 767

343 : 1, 7, 49, 343

374 : 1, 2, 11, 17, 22, 34, 187, 374

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,767,343,374,409, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

767:13x 59

343:7x 7x 7

374:2x 11x 17

409:409

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

2 = 2

Therefore, the value for common factors is 2.

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 = 17223767849288/(1x2)

LCM = 17223767849288/2

LCM = 8611883924644

Thus, we can understand that the LCM of 428,767,343,374,409 is 8611883924644.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 767, 343, 374, 409

1. What is the LCM of 428, 767, 343, 374, 409?

Answer: LCM of 428, 767, 343, 374, 409 is 8611883924644.

2. How to calculate the LCM of 428, 767, 343, 374, 409?

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 428, 767, 343, 374, 409.

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}.