Given numbers are 906,973,291,310,584

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

The LCM of 906,973,291,310,584 is 3870145758360.

Find LCM of 906,973,291,310,584 with Prime Factorization

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

2 x 3 x 151 x 973 x 97 x 155 x 292 = 3870145758360

Therefore, the lowest common multiple of 906,973,291,310,584 is 3870145758360.

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 973 x 291 x 310 x 584 = 46441749100320

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

973 : 1, 7, 139, 973

291 : 1, 3, 97, 291

310 : 1, 2, 5, 10, 31, 62, 155, 310

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,973,291,310,584, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

973:7x 139

291:3x 97

310:2x 5x 31

584:2x 2x 2x 73

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 3 = 12

Therefore, the value for common factors is 12.

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 = 46441749100320/(1x12)

LCM = 46441749100320/12

LCM = 3870145758360

Thus, we can understand that the LCM of 906,973,291,310,584 is 3870145758360.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 460, 788, 559, 924, 746
• LCM of 649, 913, 927, 842, 821
• LCM of 339, 166, 604, 553, 520
• LCM of 667, 374, 354, 518, 499
• LCM of 800, 824, 536, 624, 248

1. What is the LCM of 906, 973, 291, 310, 584?

Answer: LCM of 906, 973, 291, 310, 584 is 3870145758360.

2. How to calculate the LCM of 906, 973, 291, 310, 584?

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, 973, 291, 310, 584.

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}.