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LCM of 150, 758, 636, 173, 460

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


Find the LCM of 150, 758, 636, 173, 460 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 150, 758, 636, 173, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 150,758,636,173,460

Given numbers are 150,758,636,173,460

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

The LCM of 150,758,636,173,460 is 23977851900.

Find LCM of 150,758,636,173,460 with Prime Factorization


2 150, 758, 636, 173, 460
2 75, 379, 318, 173, 230
3 75, 379, 159, 173, 115
5 25, 379, 53, 173, 115
5, 379, 53, 173, 23

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

2 x 2 x 3 x 5 x 5 x 379 x 53 x 173 x 23 = 23977851900

Therefore, the lowest common multiple of 150,758,636,173,460 is 23977851900.

LCM Formula to Find Lowest Common Multiple of 150,758,636,173,460

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.

150 x 758 x 636 x 173 x 460 = 5754684456000

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.

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

758 : 1, 2, 379, 758

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

173 : 1, 173

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,758,636,173,460, is 1.

Now, the common factors can be found like this.

150:2x 3x 5x 5

758:2x 379

636:2x 2x 3x 53

173:173

460:2x 2x 5x 23

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 2x 2x 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 5754684456000/(1x240)

LCM = 5754684456000/240

LCM = 23977851900

Thus, we can understand that the LCM of 150,758,636,173,460 is 23977851900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 150, 758, 636, 173, 460

1. What is the LCM of 150, 758, 636, 173, 460?

Answer: LCM of 150, 758, 636, 173, 460 is 23977851900.

2. How to calculate the LCM of 150, 758, 636, 173, 460?

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 150, 758, 636, 173, 460.

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}.