Given numbers are 946,936,851,330,617

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

The LCM of 946,936,851,330,617 is 1162309313880.

Find LCM of 946,936,851,330,617 with Prime Factorization

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

2 x 3 x 11 x 43 x 156 x 851 x 5 x 617 = 1162309313880

Therefore, the lowest common multiple of 946,936,851,330,617 is 1162309313880.

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.

946 x 936 x 851 x 330 x 617 = 153424829432160

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

851 : 1, 23, 37, 851

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,936,851,330,617, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

936:2x 2x 2x 3x 3x 13

851:23x 37

330:2x 3x 5x 11

617:617

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 153424829432160/(1x132)

LCM = 153424829432160/132

LCM = 1162309313880

Thus, we can understand that the LCM of 946,936,851,330,617 is 1162309313880.

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

• LCM of 984, 424, 616, 357, 682
• LCM of 215, 569, 504, 837, 425
• LCM of 742, 988, 758, 915, 954
• LCM of 709, 753, 109, 198, 597
• LCM of 380, 321, 550, 600, 196

1. What is the LCM of 946, 936, 851, 330, 617?

Answer: LCM of 946, 936, 851, 330, 617 is 1162309313880.

2. How to calculate the LCM of 946, 936, 851, 330, 617?

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 946, 936, 851, 330, 617.

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}.