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LCM of 909, 780, 240, 882

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


Find the LCM of 909, 780, 240, 882 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 909, 780, 240, 882. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,780,240,882

Given numbers are 909,780,240,882

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

The LCM of 909,780,240,882 is 46322640.

Find LCM of 909,780,240,882 with Prime Factorization


2 909, 780, 240, 882
2 909, 390, 120, 441
3 909, 195, 60, 441
3 303, 65, 20, 147
5 101, 65, 20, 49
101, 13, 4, 49

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

2 x 2 x 3 x 3 x 5 x 101 x 13 x 4 x 49 = 46322640

Therefore, the lowest common multiple of 909,780,240,882 is 46322640.

LCM Formula to Find Lowest Common Multiple of 909,780,240,882

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.

909 x 780 x 240 x 882 = 150085353600

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.

909 : 1, 3, 9, 101, 303, 909

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

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

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,780,240,882, is 3.

Now, the common factors can be found like this.

909:3x 3x 101

780:2x 2x 3x 5x 13

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

882:2x 3x 3x 7x 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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 150085353600/(3x1080)

LCM = 150085353600/3240

LCM = 46322640

Thus, we can understand that the LCM of 909,780,240,882 is 46322640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 780, 240, 882

1. What is the LCM of 909, 780, 240, 882?

Answer: LCM of 909, 780, 240, 882 is 46322640.

2. How to calculate the LCM of 909, 780, 240, 882?

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 909, 780, 240, 882.

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}.