Given numbers are 870,211,882,346,960

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

The LCM of 870,211,882,346,960 is 149387797440.

Find LCM of 870,211,882,346,960 with Prime Factorization

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

2 x 3 x 5 x 29 x 211 x 147 x 173 x 32 = 149387797440

Therefore, the lowest common multiple of 870,211,882,346,960 is 149387797440.

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 211 x 882 x 346 x 960 = 53779607078400

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

211 : 1, 211

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

346 : 1, 2, 173, 346

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,211,882,346,960, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

211:211

882:2x 3x 3x 7x 7

346:2x 173

960:2x 2x 2x 2x 2x 2x 3x 5

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 5 = 360

Therefore, the value for common factors is 360.

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 = 53779607078400/(1x360)

LCM = 53779607078400/360

LCM = 149387797440

Thus, we can understand that the LCM of 870,211,882,346,960 is 149387797440.

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

• LCM of 817, 287, 910, 445, 386
• LCM of 790, 438, 967, 465, 382
• LCM of 262, 377, 772, 268, 647
• LCM of 983, 180, 581, 373, 111
• LCM of 806, 435, 577, 271, 717

1. What is the LCM of 870, 211, 882, 346, 960?

Answer: LCM of 870, 211, 882, 346, 960 is 149387797440.

2. How to calculate the LCM of 870, 211, 882, 346, 960?

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, 211, 882, 346, 960.

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}.