Given numbers are 488,293,314,946

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

The LCM of 488,293,314,946 is 10618134824.

Find LCM of 488,293,314,946 with Prime Factorization

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

2 x 244 x 293 x 157 x 473 = 10618134824

Therefore, the lowest common multiple of 488,293,314,946 is 10618134824.

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.

488 x 293 x 314 x 946 = 42472539296

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

293 : 1, 293

314 : 1, 2, 157, 314

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,293,314,946, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

293:293

314:2x 157

946:2x 11x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 42472539296/(1x4)

LCM = 42472539296/4

LCM = 10618134824

Thus, we can understand that the LCM of 488,293,314,946 is 10618134824.

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

• LCM of 608, 192, 914, 305
• LCM of 308, 366, 399, 620
• LCM of 768, 836, 345, 621
• LCM of 373, 540, 406, 256
• LCM of 723, 500, 623, 951

1. What is the LCM of 488, 293, 314, 946?

Answer: LCM of 488, 293, 314, 946 is 10618134824.

2. How to calculate the LCM of 488, 293, 314, 946?

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 488, 293, 314, 946.

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}.