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LCM of 150, 375, 154, 230, 902

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


Find the LCM of 150, 375, 154, 230, 902 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, 375, 154, 230, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 150,375,154,230,902

Given numbers are 150,375,154,230,902

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

The LCM of 150,375,154,230,902 is 54458250.

Find LCM of 150,375,154,230,902 with Prime Factorization


2 150, 375, 154, 230, 902
3 75, 375, 77, 115, 451
5 25, 125, 77, 115, 451
5 5, 25, 77, 23, 451
11 1, 5, 77, 23, 451
1, 5, 7, 23, 41

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

2 x 3 x 5 x 5 x 11 x 1 x 5 x 7 x 23 x 41 = 54458250

Therefore, the lowest common multiple of 150,375,154,230,902 is 54458250.

LCM Formula to Find Lowest Common Multiple of 150,375,154,230,902

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 375 x 154 x 230 x 902 = 1797122250000

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

375 : 1, 3, 5, 15, 25, 75, 125, 375

154 : 1, 2, 7, 11, 14, 22, 77, 154

230 : 1, 2, 5, 10, 23, 46, 115, 230

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,375,154,230,902, is 1.

Now, the common factors can be found like this.

150:2x 3x 5x 5

375:3x 5x 5x 5

154:2x 7x 11

230:2x 5x 23

902:2x 11x 41

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 3x 5x 5x 5x 11 = 33000

Therefore, the value for common factors is 33000.

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 = 1797122250000/(1x33000)

LCM = 1797122250000/33000

LCM = 54458250

Thus, we can understand that the LCM of 150,375,154,230,902 is 54458250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 150, 375, 154, 230, 902

1. What is the LCM of 150, 375, 154, 230, 902?

Answer: LCM of 150, 375, 154, 230, 902 is 54458250.

2. How to calculate the LCM of 150, 375, 154, 230, 902?

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, 375, 154, 230, 902.

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}.