Given numbers are 148,402,736,810

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

The LCM of 148,402,736,810 is 738940320.

Find LCM of 148,402,736,810 with Prime Factorization

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

2 x 2 x 3 x 37 x 67 x 184 x 135 = 738940320

Therefore, the lowest common multiple of 148,402,736,810 is 738940320.

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 402 x 736 x 810 = 35469135360

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,402,736,810, is 2.

Now, the common factors can be found like this.

148:2x 2x 37

402:2x 3x 67

736:2x 2x 2x 2x 2x 23

810:2x 3x 3x 3x 3x 5

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 3 = 24

Therefore, the value for common factors is 24.

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 = 35469135360/(2x24)

LCM = 35469135360/48

LCM = 738940320

Thus, we can understand that the LCM of 148,402,736,810 is 738940320.

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

• LCM of 131, 741, 996, 976
• LCM of 155, 141, 392, 162
• LCM of 636, 514, 753, 505
• LCM of 945, 427, 934, 763
• LCM of 426, 863, 393, 373

1. What is the LCM of 148, 402, 736, 810?

Answer: LCM of 148, 402, 736, 810 is 738940320.

2. How to calculate the LCM of 148, 402, 736, 810?

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, 402, 736, 810.

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}.