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LCM of 894, 144, 259, 399

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


Find the LCM of 894, 144, 259, 399 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 894, 144, 259, 399. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 894,144,259,399

Given numbers are 894,144,259,399

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

The LCM of 894,144,259,399 is 105584976.

Find LCM of 894,144,259,399 with Prime Factorization


2 894, 144, 259, 399
3 447, 72, 259, 399
7 149, 24, 259, 133
149, 24, 37, 19

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

2 x 3 x 7 x 149 x 24 x 37 x 19 = 105584976

Therefore, the lowest common multiple of 894,144,259,399 is 105584976.

LCM Formula to Find Lowest Common Multiple of 894,144,259,399

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.

894 x 144 x 259 x 399 = 13303706976

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

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

259 : 1, 7, 37, 259

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,144,259,399, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

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

259:7x 37

399:3x 7x 19

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 7 = 126

Therefore, the value for common factors is 126.

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 = 13303706976/(1x126)

LCM = 13303706976/126

LCM = 105584976

Thus, we can understand that the LCM of 894,144,259,399 is 105584976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 894, 144, 259, 399

1. What is the LCM of 894, 144, 259, 399?

Answer: LCM of 894, 144, 259, 399 is 105584976.

2. How to calculate the LCM of 894, 144, 259, 399?

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 894, 144, 259, 399.

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}.