Given numbers are 149,723,121,484,600

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

The LCM of 149,723,121,484,600 is 2606993400.

Find LCM of 149,723,121,484,600 with Prime Factorization

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

2 x 2 x 3 x 11 x 11 x 149 x 241 x 1 x 1 x 50 = 2606993400

Therefore, the lowest common multiple of 149,723,121,484,600 is 2606993400.

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 723 x 121 x 484 x 600 = 3785354416800

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

723 : 1, 3, 241, 723

121 : 1, 11, 121

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,723,121,484,600, is 1.

Now, the common factors can be found like this.

149:149

723:3x 241

121:11x 11

484:2x 2x 11x 11

600:2x 2x 2x 3x 5x 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 3x 11x 11 = 1452

Therefore, the value for common factors is 1452.

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 = 3785354416800/(1x1452)

LCM = 3785354416800/1452

LCM = 2606993400

Thus, we can understand that the LCM of 149,723,121,484,600 is 2606993400.

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

• LCM of 946, 737, 251, 118, 756
• LCM of 516, 992, 281, 439, 311
• LCM of 338, 734, 677, 104, 960
• LCM of 143, 915, 566, 140, 673
• LCM of 311, 300, 453, 185, 151

1. What is the LCM of 149, 723, 121, 484, 600?

Answer: LCM of 149, 723, 121, 484, 600 is 2606993400.

2. How to calculate the LCM of 149, 723, 121, 484, 600?

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, 723, 121, 484, 600.

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}.