Given numbers are 732,434,149,924,816

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

The LCM of 732,434,149,924,816 is 17703481488.

Find LCM of 732,434,149,924,816 with Prime Factorization

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

2 x 2 x 3 x 7 x 61 x 31 x 149 x 11 x 68 = 17703481488

Therefore, the lowest common multiple of 732,434,149,924,816 is 17703481488.

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.

732 x 434 x 149 x 924 x 816 = 35690218679808

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

434 : 1, 2, 7, 14, 31, 62, 217, 434

149 : 1, 149

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,434,149,924,816, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

434:2x 7x 31

149:149

924:2x 2x 3x 7x 11

816:2x 2x 2x 2x 3x 17

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 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 35690218679808/(1x2016)

LCM = 35690218679808/2016

LCM = 17703481488

Thus, we can understand that the LCM of 732,434,149,924,816 is 17703481488.

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

• LCM of 267, 439, 615, 327, 228
• LCM of 692, 843, 442, 568, 560
• LCM of 133, 379, 400, 900, 550
• LCM of 734, 545, 154, 366, 292
• LCM of 778, 659, 836, 148, 913

1. What is the LCM of 732, 434, 149, 924, 816?

Answer: LCM of 732, 434, 149, 924, 816 is 17703481488.

2. How to calculate the LCM of 732, 434, 149, 924, 816?

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 732, 434, 149, 924, 816.

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}.