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LCM of 469, 780, 906, 906

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


Find the LCM of 469, 780, 906, 906 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 469, 780, 906, 906. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,780,906,906

Given numbers are 469,780,906,906

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

The LCM of 469,780,906,906 is 55238820.

Find LCM of 469,780,906,906 with Prime Factorization


2 469, 780, 906, 906
3 469, 390, 453, 453
151 469, 130, 151, 151
469, 130, 1, 1

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

2 x 3 x 151 x 469 x 130 x 1 x 1 = 55238820

Therefore, the lowest common multiple of 469,780,906,906 is 55238820.

LCM Formula to Find Lowest Common Multiple of 469,780,906,906

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.

469 x 780 x 906 x 906 = 300278225520

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.

469 : 1, 7, 67, 469

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

906 : 1, 2, 3, 6, 151, 302, 453, 906

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,780,906,906, is 1.

Now, the common factors can be found like this.

469:7x 67

780:2x 2x 3x 5x 13

906:2x 3x 151

906:2x 3x 151

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 3x 151 = 5436

Therefore, the value for common factors is 5436.

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 = 300278225520/(1x5436)

LCM = 300278225520/5436

LCM = 55238820

Thus, we can understand that the LCM of 469,780,906,906 is 55238820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 780, 906, 906

1. What is the LCM of 469, 780, 906, 906?

Answer: LCM of 469, 780, 906, 906 is 55238820.

2. How to calculate the LCM of 469, 780, 906, 906?

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 469, 780, 906, 906.

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}.