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LCM of 428, 623, 713, 343

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


Find the LCM of 428, 623, 713, 343 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, 623, 713, 343. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,623,713,343

Given numbers are 428,623,713,343

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

The LCM of 428,623,713,343 is 9315741428.

Find LCM of 428,623,713,343 with Prime Factorization


7 428, 623, 713, 343
428, 89, 713, 49

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

7 x 428 x 89 x 713 x 49 = 9315741428

Therefore, the lowest common multiple of 428,623,713,343 is 9315741428.

LCM Formula to Find Lowest Common Multiple of 428,623,713,343

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 623 x 713 x 343 = 65210189996

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

623 : 1, 7, 89, 623

713 : 1, 23, 31, 713

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,623,713,343, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

623:7x 89

713:23x 31

343:7x 7x 7

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

7 = 7

Therefore, the value for common factors is 7.

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 = 65210189996/(1x7)

LCM = 65210189996/7

LCM = 9315741428

Thus, we can understand that the LCM of 428,623,713,343 is 9315741428.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 623, 713, 343

1. What is the LCM of 428, 623, 713, 343?

Answer: LCM of 428, 623, 713, 343 is 9315741428.

2. How to calculate the LCM of 428, 623, 713, 343?

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, 623, 713, 343.

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}.