Given numbers are 149,875,247,741,364

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

The LCM of 149,875,247,741,364 is 386431500.

Find LCM of 149,875,247,741,364 with Prime Factorization

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

7 x 13 x 19 x 149 x 125 x 1 x 3 x 4 = 386431500

Therefore, the lowest common multiple of 149,875,247,741,364 is 386431500.

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.

149 x 875 x 247 x 741 x 364 = 8685820825500

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.

149 : 1, 149

875 : 1, 5, 7, 25, 35, 125, 175, 875

247 : 1, 13, 19, 247

741 : 1, 3, 13, 19, 39, 57, 247, 741

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,875,247,741,364, is 1.

Now, the common factors can be found like this.

149:149

875:5x 5x 5x 7

247:13x 19

741:3x 13x 19

364:2x 2x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7x 13x 13x 19 = 22477

Therefore, the value for common factors is 22477.

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 = 8685820825500/(1x22477)

LCM = 8685820825500/22477

LCM = 386431500

Thus, we can understand that the LCM of 149,875,247,741,364 is 386431500.

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

• LCM of 814, 248, 229, 258, 721
• LCM of 510, 588, 925, 111, 283
• LCM of 455, 537, 521, 649, 559
• LCM of 150, 701, 867, 306, 216
• LCM of 849, 992, 176, 436, 617

1. What is the LCM of 149, 875, 247, 741, 364?

Answer: LCM of 149, 875, 247, 741, 364 is 386431500.

2. How to calculate the LCM of 149, 875, 247, 741, 364?

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 149, 875, 247, 741, 364.

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}.