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LCM of 925, 744, 279, 315

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


Find the LCM of 925, 744, 279, 315 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 925, 744, 279, 315. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 925,744,279,315

Given numbers are 925,744,279,315

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

The LCM of 925,744,279,315 is 14452200.

Find LCM of 925,744,279,315 with Prime Factorization


3 925, 744, 279, 315
3 925, 248, 93, 105
5 925, 248, 31, 35
31 185, 248, 31, 7
185, 8, 1, 7

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

3 x 3 x 5 x 31 x 185 x 8 x 1 x 7 = 14452200

Therefore, the lowest common multiple of 925,744,279,315 is 14452200.

LCM Formula to Find Lowest Common Multiple of 925,744,279,315

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.

925 x 744 x 279 x 315 = 60482457000

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.

925 : 1, 5, 25, 37, 185, 925

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,744,279,315, is 1.

Now, the common factors can be found like this.

925:5x 5x 37

744:2x 2x 2x 3x 31

279:3x 3x 31

315:3x 3x 5x 7

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

3x 3x 3x 5x 31 = 4185

Therefore, the value for common factors is 4185.

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 = 60482457000/(1x4185)

LCM = 60482457000/4185

LCM = 14452200

Thus, we can understand that the LCM of 925,744,279,315 is 14452200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 925, 744, 279, 315

1. What is the LCM of 925, 744, 279, 315?

Answer: LCM of 925, 744, 279, 315 is 14452200.

2. How to calculate the LCM of 925, 744, 279, 315?

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 925, 744, 279, 315.

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}.