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LCM of 279, 399, 720, 474

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


Find the LCM of 279, 399, 720, 474 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 279, 399, 720, 474. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 279,399,720,474

Given numbers are 279,399,720,474

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

The LCM of 279,399,720,474 is 234516240.

Find LCM of 279,399,720,474 with Prime Factorization


2 279, 399, 720, 474
3 279, 399, 360, 237
3 93, 133, 120, 79
31, 133, 40, 79

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

2 x 3 x 3 x 31 x 133 x 40 x 79 = 234516240

Therefore, the lowest common multiple of 279,399,720,474 is 234516240.

LCM Formula to Find Lowest Common Multiple of 279,399,720,474

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.

279 x 399 x 720 x 474 = 37991630880

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.

279 : 1, 3, 9, 31, 93, 279

399 : 1, 3, 7, 19, 21, 57, 133, 399

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

474 : 1, 2, 3, 6, 79, 158, 237, 474

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,399,720,474, is 3.

Now, the common factors can be found like this.

279:3x 3x 31

399:3x 7x 19

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

474:2x 3x 79

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 37991630880/(3x54)

LCM = 37991630880/162

LCM = 234516240

Thus, we can understand that the LCM of 279,399,720,474 is 234516240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 279, 399, 720, 474

1. What is the LCM of 279, 399, 720, 474?

Answer: LCM of 279, 399, 720, 474 is 234516240.

2. How to calculate the LCM of 279, 399, 720, 474?

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 279, 399, 720, 474.

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}.