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LCM of 990, 780, 960, 750

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


Find the LCM of 990, 780, 960, 750 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 990, 780, 960, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,780,960,750

Given numbers are 990,780,960,750

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

The LCM of 990,780,960,750 is 10296000.

Find LCM of 990,780,960,750 with Prime Factorization


2 990, 780, 960, 750
2 495, 390, 480, 375
3 495, 195, 240, 375
5 165, 65, 80, 125
33, 13, 16, 25

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

2 x 2 x 3 x 5 x 33 x 13 x 16 x 25 = 10296000

Therefore, the lowest common multiple of 990,780,960,750 is 10296000.

LCM Formula to Find Lowest Common Multiple of 990,780,960,750

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.

990 x 780 x 960 x 750 = 555984000000

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

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

30 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,780,960,750, is 30.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

780:2x 2x 3x 5x 13

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

750:2x 3x 5x 5x 5

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 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 555984000000/(30x1800)

LCM = 555984000000/54000

LCM = 10296000

Thus, we can understand that the LCM of 990,780,960,750 is 10296000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 780, 960, 750

1. What is the LCM of 990, 780, 960, 750?

Answer: LCM of 990, 780, 960, 750 is 10296000.

2. How to calculate the LCM of 990, 780, 960, 750?

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 990, 780, 960, 750.

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}.