Given numbers are 506,473,272,950,102

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

The LCM of 506,473,272,950,102 is 4216700400.

Find LCM of 506,473,272,950,102 with Prime Factorization

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

2 x 11 x 17 x 23 x 43 x 8 x 475 x 3 = 4216700400

Therefore, the lowest common multiple of 506,473,272,950,102 is 4216700400.

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 473 x 272 x 950 x 102 = 6308183798400

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

473 : 1, 11, 43, 473

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,473,272,950,102, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

473:11x 43

272:2x 2x 2x 2x 17

950:2x 5x 5x 19

102:2x 3x 17

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 11x 17 = 1496

Therefore, the value for common factors is 1496.

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 = 6308183798400/(1x1496)

LCM = 6308183798400/1496

LCM = 4216700400

Thus, we can understand that the LCM of 506,473,272,950,102 is 4216700400.

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

• LCM of 284, 963, 248, 340, 457
• LCM of 867, 156, 404, 516, 259
• LCM of 483, 775, 969, 843, 762
• LCM of 319, 296, 381, 709, 728
• LCM of 633, 673, 917, 958, 202

1. What is the LCM of 506, 473, 272, 950, 102?

Answer: LCM of 506, 473, 272, 950, 102 is 4216700400.

2. How to calculate the LCM of 506, 473, 272, 950, 102?

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, 473, 272, 950, 102.

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}.