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LCM of 852, 345, 736, 960, 875

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


Find the LCM of 852, 345, 736, 960, 875 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 852, 345, 736, 960, 875. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 852,345,736,960,875

Given numbers are 852,345,736,960,875

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

The LCM of 852,345,736,960,875 is 274344000.

Find LCM of 852,345,736,960,875 with Prime Factorization


2 852, 345, 736, 960, 875
2 426, 345, 368, 480, 875
2 213, 345, 184, 240, 875
2 213, 345, 92, 120, 875
2 213, 345, 46, 60, 875
3 213, 345, 23, 30, 875
5 71, 115, 23, 10, 875
23 71, 23, 23, 2, 175
71, 1, 1, 2, 175

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 71 x 1 x 1 x 2 x 175 = 274344000

Therefore, the lowest common multiple of 852,345,736,960,875 is 274344000.

LCM Formula to Find Lowest Common Multiple of 852,345,736,960,875

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.

852 x 345 x 736 x 960 x 875 = 181725465600000

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

345 : 1, 3, 5, 15, 23, 69, 115, 345

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,345,736,960,875, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

345:3x 5x 23

736:2x 2x 2x 2x 2x 23

960:2x 2x 2x 2x 2x 2x 3x 5

875:5x 5x 5x 7

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 2x 2x 2x 3x 3x 5x 5x 23 = 662400

Therefore, the value for common factors is 662400.

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 = 181725465600000/(1x662400)

LCM = 181725465600000/662400

LCM = 274344000

Thus, we can understand that the LCM of 852,345,736,960,875 is 274344000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 852, 345, 736, 960, 875

1. What is the LCM of 852, 345, 736, 960, 875?

Answer: LCM of 852, 345, 736, 960, 875 is 274344000.

2. How to calculate the LCM of 852, 345, 736, 960, 875?

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 852, 345, 736, 960, 875.

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}.