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LCM of 339, 720, 678, 502, 372

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


Find the LCM of 339, 720, 678, 502, 372 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 339, 720, 678, 502, 372. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 339,720,678,502,372

Given numbers are 339,720,678,502,372

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

The LCM of 339,720,678,502,372 is 633062160.

Find LCM of 339,720,678,502,372 with Prime Factorization


2 339, 720, 678, 502, 372
2 339, 360, 339, 251, 186
3 339, 180, 339, 251, 93
113 113, 60, 113, 251, 31
1, 60, 1, 251, 31

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

2 x 2 x 3 x 113 x 1 x 60 x 1 x 251 x 31 = 633062160

Therefore, the lowest common multiple of 339,720,678,502,372 is 633062160.

LCM Formula to Find Lowest Common Multiple of 339,720,678,502,372

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.

339 x 720 x 678 x 502 x 372 = 30903562402560

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.

339 : 1, 3, 113, 339

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

678 : 1, 2, 3, 6, 113, 226, 339, 678

502 : 1, 2, 251, 502

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,720,678,502,372, is 1.

Now, the common factors can be found like this.

339:3x 113

720:2x 2x 2x 2x 3x 3x 5

678:2x 3x 113

502:2x 251

372:2x 2x 3x 31

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 3x 3x 3x 113 = 48816

Therefore, the value for common factors is 48816.

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 = 30903562402560/(1x48816)

LCM = 30903562402560/48816

LCM = 633062160

Thus, we can understand that the LCM of 339,720,678,502,372 is 633062160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 339, 720, 678, 502, 372

1. What is the LCM of 339, 720, 678, 502, 372?

Answer: LCM of 339, 720, 678, 502, 372 is 633062160.

2. How to calculate the LCM of 339, 720, 678, 502, 372?

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 339, 720, 678, 502, 372.

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}.