Given numbers are 578,298,140,614

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

The LCM of 578,298,140,614 is 1850761780.

Find LCM of 578,298,140,614 with Prime Factorization

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

2 x 289 x 149 x 70 x 307 = 1850761780

Therefore, the lowest common multiple of 578,298,140,614 is 1850761780.

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.

578 x 298 x 140 x 614 = 14806094240

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.

578 : 1, 2, 17, 34, 289, 578

298 : 1, 2, 149, 298

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,298,140,614, is 2.

Now, the common factors can be found like this.

578:2x 17x 17

298:2x 149

140:2x 2x 5x 7

614:2x 307

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 = 14806094240/(2x4)

LCM = 14806094240/8

LCM = 1850761780

Thus, we can understand that the LCM of 578,298,140,614 is 1850761780.

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

• LCM of 554, 433, 874, 174
• LCM of 129, 974, 751, 619
• LCM of 252, 300, 254, 800
• LCM of 856, 616, 977, 947
• LCM of 513, 536, 963, 292

1. What is the LCM of 578, 298, 140, 614?

Answer: LCM of 578, 298, 140, 614 is 1850761780.

2. How to calculate the LCM of 578, 298, 140, 614?

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 578, 298, 140, 614.

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}.