Given numbers are 345,701,506,583

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

The LCM of 345,701,506,583 is 281991270.

Find LCM of 345,701,506,583 with Prime Factorization

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

11 x 23 x 15 x 701 x 2 x 53 = 281991270

Therefore, the lowest common multiple of 345,701,506,583 is 281991270.

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.

345 x 701 x 506 x 583 = 71343791310

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

701 : 1, 701

506 : 1, 2, 11, 22, 23, 46, 253, 506

583 : 1, 11, 53, 583

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,701,506,583, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

701:701

506:2x 11x 23

583:11x 53

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

11x 23 = 253

Therefore, the value for common factors is 253.

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 = 71343791310/(1x253)

LCM = 71343791310/253

LCM = 281991270

Thus, we can understand that the LCM of 345,701,506,583 is 281991270.

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

• LCM of 215, 448, 969, 839
• LCM of 562, 654, 404, 260
• LCM of 135, 399, 981, 920
• LCM of 490, 826, 592, 815
• LCM of 661, 257, 461, 232

1. What is the LCM of 345, 701, 506, 583?

Answer: LCM of 345, 701, 506, 583 is 281991270.

2. How to calculate the LCM of 345, 701, 506, 583?

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 345, 701, 506, 583.

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}.