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LCM of 305, 925, 144, 718

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


Find the LCM of 305, 925, 144, 718 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 305, 925, 144, 718. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 305,925,144,718

Given numbers are 305,925,144,718

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

The LCM of 305,925,144,718 is 2916946800.

Find LCM of 305,925,144,718 with Prime Factorization


2 305, 925, 144, 718
5 305, 925, 72, 359
61, 185, 72, 359

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

2 x 5 x 61 x 185 x 72 x 359 = 2916946800

Therefore, the lowest common multiple of 305,925,144,718 is 2916946800.

LCM Formula to Find Lowest Common Multiple of 305,925,144,718

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.

305 x 925 x 144 x 718 = 29169468000

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.

305 : 1, 5, 61, 305

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

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,925,144,718, is 1.

Now, the common factors can be found like this.

305:5x 61

925:5x 5x 37

144:2x 2x 2x 2x 3x 3

718:2x 359

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 29169468000/(1x10)

LCM = 29169468000/10

LCM = 2916946800

Thus, we can understand that the LCM of 305,925,144,718 is 2916946800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 305, 925, 144, 718

1. What is the LCM of 305, 925, 144, 718?

Answer: LCM of 305, 925, 144, 718 is 2916946800.

2. How to calculate the LCM of 305, 925, 144, 718?

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 305, 925, 144, 718.

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}.