Given numbers are 149,906,240,328,740

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

The LCM of 149,906,240,328,740 is 8191435920.

Find LCM of 149,906,240,328,740 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 149 x 151 x 2 x 41 x 37 = 8191435920

Therefore, the lowest common multiple of 149,906,240,328,740 is 8191435920.

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 906 x 240 x 328 x 740 = 7863778483200

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

906 : 1, 2, 3, 6, 151, 302, 453, 906

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

328 : 1, 2, 4, 8, 41, 82, 164, 328

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,906,240,328,740, is 1.

Now, the common factors can be found like this.

149:149

906:2x 3x 151

240:2x 2x 2x 2x 3x 5

328:2x 2x 2x 41

740:2x 2x 5x 37

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 2x 2x 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 7863778483200/(1x960)

LCM = 7863778483200/960

LCM = 8191435920

Thus, we can understand that the LCM of 149,906,240,328,740 is 8191435920.

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

• LCM of 250, 395, 311, 682, 351
• LCM of 759, 196, 610, 807, 602
• LCM of 969, 859, 309, 981, 724
• LCM of 277, 399, 958, 774, 467
• LCM of 548, 101, 739, 467, 768

1. What is the LCM of 149, 906, 240, 328, 740?

Answer: LCM of 149, 906, 240, 328, 740 is 8191435920.

2. How to calculate the LCM of 149, 906, 240, 328, 740?

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, 906, 240, 328, 740.

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}.