Given numbers are 870,492,882,975,472

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

The LCM of 870,492,882,975,472 is 80435136600.

Find LCM of 870,492,882,975,472 with Prime Factorization

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

2 x 2 x 3 x 5 x 29 x 41 x 147 x 65 x 118 = 80435136600

Therefore, the lowest common multiple of 870,492,882,975,472 is 80435136600.

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 492 x 882 x 975 x 472 = 173739895056000

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

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

472 : 1, 2, 4, 8, 59, 118, 236, 472

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,492,882,975,472, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

492:2x 2x 3x 41

882:2x 3x 3x 7x 7

975:3x 5x 5x 13

472:2x 2x 2x 59

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 3x 3x 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 173739895056000/(1x2160)

LCM = 173739895056000/2160

LCM = 80435136600

Thus, we can understand that the LCM of 870,492,882,975,472 is 80435136600.

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

• LCM of 639, 907, 303, 822, 447
• LCM of 207, 855, 267, 180, 254
• LCM of 287, 625, 134, 333, 939
• LCM of 222, 574, 519, 339, 125
• LCM of 734, 819, 923, 497, 156

1. What is the LCM of 870, 492, 882, 975, 472?

Answer: LCM of 870, 492, 882, 975, 472 is 80435136600.

2. How to calculate the LCM of 870, 492, 882, 975, 472?

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, 492, 882, 975, 472.

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}.