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LCM of 375, 423, 885, 170

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


Find the LCM of 375, 423, 885, 170 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 375, 423, 885, 170. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 375,423,885,170

Given numbers are 375,423,885,170

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

The LCM of 375,423,885,170 is 106067250.

Find LCM of 375,423,885,170 with Prime Factorization


3 375, 423, 885, 170
5 125, 141, 295, 170
25, 141, 59, 34

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

3 x 5 x 25 x 141 x 59 x 34 = 106067250

Therefore, the lowest common multiple of 375,423,885,170 is 106067250.

LCM Formula to Find Lowest Common Multiple of 375,423,885,170

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.

375 x 423 x 885 x 170 = 23865131250

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.

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

423 : 1, 3, 9, 47, 141, 423

885 : 1, 3, 5, 15, 59, 177, 295, 885

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,423,885,170, is 1.

Now, the common factors can be found like this.

375:3x 5x 5x 5

423:3x 3x 47

885:3x 5x 59

170:2x 5x 17

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

3x 3x 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 23865131250/(1x225)

LCM = 23865131250/225

LCM = 106067250

Thus, we can understand that the LCM of 375,423,885,170 is 106067250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 375, 423, 885, 170

1. What is the LCM of 375, 423, 885, 170?

Answer: LCM of 375, 423, 885, 170 is 106067250.

2. How to calculate the LCM of 375, 423, 885, 170?

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 375, 423, 885, 170.

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}.