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LCM of 750, 205, 875, 709

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


Find the LCM of 750, 205, 875, 709 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 750, 205, 875, 709. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 750,205,875,709

Given numbers are 750,205,875,709

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

The LCM of 750,205,875,709 is 152612250.

Find LCM of 750,205,875,709 with Prime Factorization


5 750, 205, 875, 709
5 150, 41, 175, 709
5 30, 41, 35, 709
6, 41, 7, 709

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

5 x 5 x 5 x 6 x 41 x 7 x 709 = 152612250

Therefore, the lowest common multiple of 750,205,875,709 is 152612250.

LCM Formula to Find Lowest Common Multiple of 750,205,875,709

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.

750 x 205 x 875 x 709 = 95382656250

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

205 : 1, 5, 41, 205

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

709 : 1, 709

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,205,875,709, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

205:5x 41

875:5x 5x 5x 7

709:709

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

5x 5x 5x 5 = 625

Therefore, the value for common factors is 625.

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 = 95382656250/(1x625)

LCM = 95382656250/625

LCM = 152612250

Thus, we can understand that the LCM of 750,205,875,709 is 152612250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 750, 205, 875, 709

1. What is the LCM of 750, 205, 875, 709?

Answer: LCM of 750, 205, 875, 709 is 152612250.

2. How to calculate the LCM of 750, 205, 875, 709?

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 750, 205, 875, 709.

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}.