Given numbers are 102,471,752,149,544

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

The LCM of 102,471,752,149,544 is 1794336672.

Find LCM of 102,471,752,149,544 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 1 x 157 x 47 x 149 x 2 = 1794336672

Therefore, the lowest common multiple of 102,471,752,149,544 is 1794336672.

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.

102 x 471 x 752 x 149 x 544 = 2928357448704

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.

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

471 : 1, 3, 157, 471

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

149 : 1, 149

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,471,752,149,544, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

471:3x 157

752:2x 2x 2x 2x 47

149:149

544:2x 2x 2x 2x 2x 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 2x 2x 3x 17 = 1632

Therefore, the value for common factors is 1632.

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 = 2928357448704/(1x1632)

LCM = 2928357448704/1632

LCM = 1794336672

Thus, we can understand that the LCM of 102,471,752,149,544 is 1794336672.

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

• LCM of 294, 353, 447, 695, 268
• LCM of 199, 500, 576, 142, 839
• LCM of 567, 899, 142, 743, 955
• LCM of 370, 489, 321, 911, 634
• LCM of 200, 410, 121, 663, 741

1. What is the LCM of 102, 471, 752, 149, 544?

Answer: LCM of 102, 471, 752, 149, 544 is 1794336672.

2. How to calculate the LCM of 102, 471, 752, 149, 544?

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 102, 471, 752, 149, 544.

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}.