Given numbers are 293,784,490,616,738

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

The LCM of 293,784,490,616,738 is 4662005040.

Find LCM of 293,784,490,616,738 with Prime Factorization

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

2 x 2 x 2 x 7 x 7 x 293 x 2 x 5 x 11 x 369 = 4662005040

Therefore, the lowest common multiple of 293,784,490,616,738 is 4662005040.

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.

293 x 784 x 490 x 616 x 738 = 51170167319040

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.

293 : 1, 293

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,784,490,616,738, is 1.

Now, the common factors can be found like this.

293:293

784:2x 2x 2x 2x 7x 7

490:2x 5x 7x 7

616:2x 2x 2x 7x 11

738:2x 3x 3x 41

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 7x 7x 7 = 10976

Therefore, the value for common factors is 10976.

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 = 51170167319040/(1x10976)

LCM = 51170167319040/10976

LCM = 4662005040

Thus, we can understand that the LCM of 293,784,490,616,738 is 4662005040.

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

• LCM of 388, 280, 733, 950, 839
• LCM of 136, 163, 617, 865, 384
• LCM of 417, 986, 505, 161, 262
• LCM of 644, 490, 348, 615, 619
• LCM of 402, 368, 176, 407, 796

1. What is the LCM of 293, 784, 490, 616, 738?

Answer: LCM of 293, 784, 490, 616, 738 is 4662005040.

2. How to calculate the LCM of 293, 784, 490, 616, 738?

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 293, 784, 490, 616, 738.

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}.