Given numbers are 149,135,596,878,406

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

The LCM of 149,135,596,878,406 is 7170353820.

Find LCM of 149,135,596,878,406 with Prime Factorization

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

2 x 149 x 1 x 135 x 2 x 439 x 203 = 7170353820

Therefore, the lowest common multiple of 149,135,596,878,406 is 7170353820.

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 135 x 596 x 878 x 406 = 4273530876720

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

596 : 1, 2, 4, 149, 298, 596

878 : 1, 2, 439, 878

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,135,596,878,406, is 1.

Now, the common factors can be found like this.

149:149

135:3x 3x 3x 5

596:2x 2x 149

878:2x 439

406:2x 7x 29

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 149 = 596

Therefore, the value for common factors is 596.

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 = 4273530876720/(1x596)

LCM = 4273530876720/596

LCM = 7170353820

Thus, we can understand that the LCM of 149,135,596,878,406 is 7170353820.

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

• LCM of 443, 629, 384, 898, 163
• LCM of 328, 981, 578, 893, 925
• LCM of 314, 422, 730, 658, 128
• LCM of 781, 971, 648, 862, 678
• LCM of 255, 690, 108, 565, 682

1. What is the LCM of 149, 135, 596, 878, 406?

Answer: LCM of 149, 135, 596, 878, 406 is 7170353820.

2. How to calculate the LCM of 149, 135, 596, 878, 406?

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, 135, 596, 878, 406.

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}.