Given numbers are 870,956,574,919

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

The LCM of 870,956,574,919 is 109684322580.

Find LCM of 870,956,574,919 with Prime Factorization

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

2 x 435 x 478 x 287 x 919 = 109684322580

Therefore, the lowest common multiple of 870,956,574,919 is 109684322580.

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.

870 x 956 x 574 x 919 = 438737290320

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

956 : 1, 2, 4, 239, 478, 956

574 : 1, 2, 7, 14, 41, 82, 287, 574

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,956,574,919, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

956:2x 2x 239

574:2x 7x 41

919:919

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 438737290320/(1x4)

LCM = 438737290320/4

LCM = 109684322580

Thus, we can understand that the LCM of 870,956,574,919 is 109684322580.

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

• LCM of 341, 100, 332, 285
• LCM of 498, 172, 870, 442
• LCM of 506, 870, 209, 247
• LCM of 859, 460, 231, 553
• LCM of 847, 412, 322, 822

1. What is the LCM of 870, 956, 574, 919?

Answer: LCM of 870, 956, 574, 919 is 109684322580.

2. How to calculate the LCM of 870, 956, 574, 919?

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 870, 956, 574, 919.

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}.