Given numbers are 148,442,188,545,936

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

The LCM of 148,442,188,545,936 is 15080677560.

Find LCM of 148,442,188,545,936 with Prime Factorization

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

2 x 2 x 13 x 37 x 17 x 47 x 545 x 18 = 15080677560

Therefore, the lowest common multiple of 148,442,188,545,936 is 15080677560.

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.

148 x 442 x 188 x 545 x 936 = 6273561864960

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.

148 : 1, 2, 4, 37, 74, 148

442 : 1, 2, 13, 17, 26, 34, 221, 442

188 : 1, 2, 4, 47, 94, 188

545 : 1, 5, 109, 545

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,442,188,545,936, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

442:2x 13x 17

188:2x 2x 47

545:5x 109

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

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 13 = 416

Therefore, the value for common factors is 416.

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 = 6273561864960/(1x416)

LCM = 6273561864960/416

LCM = 15080677560

Thus, we can understand that the LCM of 148,442,188,545,936 is 15080677560.

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

• LCM of 959, 874, 764, 858, 865
• LCM of 711, 488, 300, 734, 557
• LCM of 364, 561, 663, 327, 156
• LCM of 548, 564, 977, 962, 314
• LCM of 842, 490, 174, 186, 293

1. What is the LCM of 148, 442, 188, 545, 936?

Answer: LCM of 148, 442, 188, 545, 936 is 15080677560.

2. How to calculate the LCM of 148, 442, 188, 545, 936?

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 148, 442, 188, 545, 936.

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}.