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LCM of 234, 812, 906, 780

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


Find the LCM of 234, 812, 906, 780 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 234, 812, 906, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,812,906,780

Given numbers are 234,812,906,780

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

The LCM of 234,812,906,780 is 71728020.

Find LCM of 234,812,906,780 with Prime Factorization


2 234, 812, 906, 780
2 117, 406, 453, 390
3 117, 203, 453, 195
13 39, 203, 151, 65
3, 203, 151, 5

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

2 x 2 x 3 x 13 x 3 x 203 x 151 x 5 = 71728020

Therefore, the lowest common multiple of 234,812,906,780 is 71728020.

LCM Formula to Find Lowest Common Multiple of 234,812,906,780

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.

234 x 812 x 906 x 780 = 134274853440

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,812,906,780, is 2.

Now, the common factors can be found like this.

234:2x 3x 3x 13

812:2x 2x 7x 29

906:2x 3x 151

780:2x 2x 3x 5x 13

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 13 = 936

Therefore, the value for common factors is 936.

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 = 134274853440/(2x936)

LCM = 134274853440/1872

LCM = 71728020

Thus, we can understand that the LCM of 234,812,906,780 is 71728020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 812, 906, 780

1. What is the LCM of 234, 812, 906, 780?

Answer: LCM of 234, 812, 906, 780 is 71728020.

2. How to calculate the LCM of 234, 812, 906, 780?

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 234, 812, 906, 780.

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}.