Given numbers are 506,104,946,471,700

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

The LCM of 506,104,946,471,700 is 93256963800.

Find LCM of 506,104,946,471,700 with Prime Factorization

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

2 x 2 x 11 x 23 x 26 x 43 x 471 x 175 = 93256963800

Therefore, the lowest common multiple of 506,104,946,471,700 is 93256963800.

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.

506 x 104 x 946 x 471 x 700 = 16413225628800

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

471 : 1, 3, 157, 471

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,104,946,471,700, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

104:2x 2x 2x 13

946:2x 11x 43

471:3x 157

700:2x 2x 5x 5x 7

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 11 = 176

Therefore, the value for common factors is 176.

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 = 16413225628800/(1x176)

LCM = 16413225628800/176

LCM = 93256963800

Thus, we can understand that the LCM of 506,104,946,471,700 is 93256963800.

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

• LCM of 813, 184, 621, 652, 797
• LCM of 260, 476, 339, 534, 338
• LCM of 734, 446, 739, 152, 116
• LCM of 162, 790, 977, 433, 903
• LCM of 719, 443, 880, 792, 998

1. What is the LCM of 506, 104, 946, 471, 700?

Answer: LCM of 506, 104, 946, 471, 700 is 93256963800.

2. How to calculate the LCM of 506, 104, 946, 471, 700?

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 506, 104, 946, 471, 700.

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}.