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LCM of 906, 626, 828, 826, 712

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


Find the LCM of 906, 626, 828, 826, 712 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 906, 626, 828, 826, 712. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 906,626,828,826,712

Given numbers are 906,626,828,826,712

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

The LCM of 906,626,828,826,712 is 2876879526696.

Find LCM of 906,626,828,826,712 with Prime Factorization


2 906, 626, 828, 826, 712
2 453, 313, 414, 413, 356
3 453, 313, 207, 413, 178
151, 313, 69, 413, 178

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

2 x 2 x 3 x 151 x 313 x 69 x 413 x 178 = 2876879526696

Therefore, the lowest common multiple of 906,626,828,826,712 is 2876879526696.

LCM Formula to Find Lowest Common Multiple of 906,626,828,826,712

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.

906 x 626 x 828 x 826 x 712 = 276180434562816

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.

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

626 : 1, 2, 313, 626

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

826 : 1, 2, 7, 14, 59, 118, 413, 826

712 : 1, 2, 4, 8, 89, 178, 356, 712

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,626,828,826,712, is 2.

Now, the common factors can be found like this.

906:2x 3x 151

626:2x 313

828:2x 2x 3x 3x 23

826:2x 7x 59

712:2x 2x 2x 89

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 276180434562816/(2x48)

LCM = 276180434562816/96

LCM = 2876879526696

Thus, we can understand that the LCM of 906,626,828,826,712 is 2876879526696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 906, 626, 828, 826, 712

1. What is the LCM of 906, 626, 828, 826, 712?

Answer: LCM of 906, 626, 828, 826, 712 is 2876879526696.

2. How to calculate the LCM of 906, 626, 828, 826, 712?

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 906, 626, 828, 826, 712.

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}.