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LCM of 750, 446, 240, 865

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


Find the LCM of 750, 446, 240, 865 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, 446, 240, 865. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 750,446,240,865

Given numbers are 750,446,240,865

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

The LCM of 750,446,240,865 is 231474000.

Find LCM of 750,446,240,865 with Prime Factorization


2 750, 446, 240, 865
3 375, 223, 120, 865
5 125, 223, 40, 865
25, 223, 8, 173

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

2 x 3 x 5 x 25 x 223 x 8 x 173 = 231474000

Therefore, the lowest common multiple of 750,446,240,865 is 231474000.

LCM Formula to Find Lowest Common Multiple of 750,446,240,865

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 446 x 240 x 865 = 69442200000

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

446 : 1, 2, 223, 446

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,446,240,865, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

446:2x 223

240:2x 2x 2x 2x 3x 5

865:5x 173

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 69442200000/(1x300)

LCM = 69442200000/300

LCM = 231474000

Thus, we can understand that the LCM of 750,446,240,865 is 231474000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 750, 446, 240, 865

1. What is the LCM of 750, 446, 240, 865?

Answer: LCM of 750, 446, 240, 865 is 231474000.

2. How to calculate the LCM of 750, 446, 240, 865?

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, 446, 240, 865.

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}.