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LCM of 875, 267, 460, 905

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


Find the LCM of 875, 267, 460, 905 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 875, 267, 460, 905. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 875,267,460,905

Given numbers are 875,267,460,905

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

The LCM of 875,267,460,905 is 3890323500.

Find LCM of 875,267,460,905 with Prime Factorization


5 875, 267, 460, 905
175, 267, 92, 181

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

5 x 175 x 267 x 92 x 181 = 3890323500

Therefore, the lowest common multiple of 875,267,460,905 is 3890323500.

LCM Formula to Find Lowest Common Multiple of 875,267,460,905

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.

875 x 267 x 460 x 905 = 97258087500

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.

875 : 1, 5, 7, 25, 35, 125, 175, 875

267 : 1, 3, 89, 267

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

905 : 1, 5, 181, 905

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,267,460,905, is 1.

Now, the common factors can be found like this.

875:5x 5x 5x 7

267:3x 89

460:2x 2x 5x 23

905:5x 181

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 97258087500/(1x25)

LCM = 97258087500/25

LCM = 3890323500

Thus, we can understand that the LCM of 875,267,460,905 is 3890323500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 875, 267, 460, 905

1. What is the LCM of 875, 267, 460, 905?

Answer: LCM of 875, 267, 460, 905 is 3890323500.

2. How to calculate the LCM of 875, 267, 460, 905?

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 875, 267, 460, 905.

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}.