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LCM of 144, 499, 369, 310, 774

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


Find the LCM of 144, 499, 369, 310, 774 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 144, 499, 369, 310, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 144,499,369,310,774

Given numbers are 144,499,369,310,774

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

The LCM of 144,499,369,310,774 is 19635729840.

Find LCM of 144,499,369,310,774 with Prime Factorization


2 144, 499, 369, 310, 774
3 72, 499, 369, 155, 387
3 24, 499, 123, 155, 129
8, 499, 41, 155, 43

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

2 x 3 x 3 x 8 x 499 x 41 x 155 x 43 = 19635729840

Therefore, the lowest common multiple of 144,499,369,310,774 is 19635729840.

LCM Formula to Find Lowest Common Multiple of 144,499,369,310,774

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.

144 x 499 x 369 x 310 x 774 = 6361976468160

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.

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

499 : 1, 499

369 : 1, 3, 9, 41, 123, 369

310 : 1, 2, 5, 10, 31, 62, 155, 310

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,499,369,310,774, is 1.

Now, the common factors can be found like this.

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

499:499

369:3x 3x 41

310:2x 5x 31

774:2x 3x 3x 43

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 6361976468160/(1x324)

LCM = 6361976468160/324

LCM = 19635729840

Thus, we can understand that the LCM of 144,499,369,310,774 is 19635729840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 144, 499, 369, 310, 774

1. What is the LCM of 144, 499, 369, 310, 774?

Answer: LCM of 144, 499, 369, 310, 774 is 19635729840.

2. How to calculate the LCM of 144, 499, 369, 310, 774?

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 144, 499, 369, 310, 774.

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}.