Given numbers are 267,424,298,614

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

The LCM of 267,424,298,614 is 5178473544.

Find LCM of 267,424,298,614 with Prime Factorization

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

2 x 267 x 212 x 149 x 307 = 5178473544

Therefore, the lowest common multiple of 267,424,298,614 is 5178473544.

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.

267 x 424 x 298 x 614 = 20713894176

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.

267 : 1, 3, 89, 267

424 : 1, 2, 4, 8, 53, 106, 212, 424

298 : 1, 2, 149, 298

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,424,298,614, is 1.

Now, the common factors can be found like this.

267:3x 89

424:2x 2x 2x 53

298:2x 149

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 = 20713894176/(1x4)

LCM = 20713894176/4

LCM = 5178473544

Thus, we can understand that the LCM of 267,424,298,614 is 5178473544.

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

• LCM of 964, 334, 617, 158
• LCM of 472, 567, 738, 851
• LCM of 136, 956, 284, 685
• LCM of 199, 580, 951, 521
• LCM of 400, 812, 190, 638

1. What is the LCM of 267, 424, 298, 614?

Answer: LCM of 267, 424, 298, 614 is 5178473544.

2. How to calculate the LCM of 267, 424, 298, 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 267, 424, 298, 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}.