Given numbers are 540,924,936,149

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

The LCM of 540,924,936,149 is 161080920.

Find LCM of 540,924,936,149 with Prime Factorization

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

2 x 2 x 3 x 3 x 15 x 77 x 26 x 149 = 161080920

Therefore, the lowest common multiple of 540,924,936,149 is 161080920.

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.

540 x 924 x 936 x 149 = 69586957440

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,924,936,149, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

924:2x 2x 3x 7x 11

936:2x 2x 2x 3x 3x 13

149:149

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 69586957440/(1x432)

LCM = 69586957440/432

LCM = 161080920

Thus, we can understand that the LCM of 540,924,936,149 is 161080920.

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

• LCM of 868, 543, 720, 732
• LCM of 561, 289, 597, 684
• LCM of 745, 988, 635, 390
• LCM of 566, 456, 573, 384
• LCM of 438, 100, 195, 372

1. What is the LCM of 540, 924, 936, 149?

Answer: LCM of 540, 924, 936, 149 is 161080920.

2. How to calculate the LCM of 540, 924, 936, 149?

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 540, 924, 936, 149.

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}.