Given numbers are 946,983,962,370,828

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

The LCM of 946,983,962,370,828 is 925891455060.

Find LCM of 946,983,962,370,828 with Prime Factorization

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

2 x 37 x 473 x 983 x 13 x 5 x 414 = 925891455060

Therefore, the lowest common multiple of 946,983,962,370,828 is 925891455060.

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 983 x 962 x 370 x 828 = 274063870697760

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

983 : 1, 983

962 : 1, 2, 13, 26, 37, 74, 481, 962

370 : 1, 2, 5, 10, 37, 74, 185, 370

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,983,962,370,828, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

983:983

962:2x 13x 37

370:2x 5x 37

828:2x 2x 3x 3x 23

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 37 = 296

Therefore, the value for common factors is 296.

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 = 274063870697760/(1x296)

LCM = 274063870697760/296

LCM = 925891455060

Thus, we can understand that the LCM of 946,983,962,370,828 is 925891455060.

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

• LCM of 939, 353, 872, 516, 504
• LCM of 626, 432, 525, 412, 670
• LCM of 938, 106, 719, 821, 810
• LCM of 270, 837, 259, 333, 246
• LCM of 447, 993, 551, 643, 147

1. What is the LCM of 946, 983, 962, 370, 828?

Answer: LCM of 946, 983, 962, 370, 828 is 925891455060.

2. How to calculate the LCM of 946, 983, 962, 370, 828?

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, 983, 962, 370, 828.

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}.