Given numbers are 149,523,689,741,350

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

The LCM of 149,523,689,741,350 is 1071149474850.

Find LCM of 149,523,689,741,350 with Prime Factorization

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

13 x 149 x 523 x 53 x 57 x 350 = 1071149474850

Therefore, the lowest common multiple of 149,523,689,741,350 is 1071149474850.

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 523 x 689 x 741 x 350 = 13924943173050

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

523 : 1, 523

689 : 1, 13, 53, 689

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,523,689,741,350, is 1.

Now, the common factors can be found like this.

149:149

523:523

689:13x 53

741:3x 13x 19

350:2x 5x 5x 7

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

13 = 13

Therefore, the value for common factors is 13.

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 = 13924943173050/(1x13)

LCM = 13924943173050/13

LCM = 1071149474850

Thus, we can understand that the LCM of 149,523,689,741,350 is 1071149474850.

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

• LCM of 610, 196, 986, 786, 558
• LCM of 975, 257, 719, 623, 882
• LCM of 768, 451, 385, 194, 922
• LCM of 877, 717, 285, 789, 691
• LCM of 743, 532, 763, 399, 980

1. What is the LCM of 149, 523, 689, 741, 350?

Answer: LCM of 149, 523, 689, 741, 350 is 1071149474850.

2. How to calculate the LCM of 149, 523, 689, 741, 350?

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, 523, 689, 741, 350.

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}.