Given numbers are 298,406,757,348

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

The LCM of 298,406,757,348 is 274763748.

Find LCM of 298,406,757,348 with Prime Factorization

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

2 x 29 x 149 x 7 x 757 x 6 = 274763748

Therefore, the lowest common multiple of 298,406,757,348 is 274763748.

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.

298 x 406 x 757 x 348 = 31872594768

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.

298 : 1, 2, 149, 298

406 : 1, 2, 7, 14, 29, 58, 203, 406

757 : 1, 757

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,406,757,348, is 1.

Now, the common factors can be found like this.

298:2x 149

406:2x 7x 29

757:757

348:2x 2x 3x 29

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 29 = 116

Therefore, the value for common factors is 116.

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 = 31872594768/(1x116)

LCM = 31872594768/116

LCM = 274763748

Thus, we can understand that the LCM of 298,406,757,348 is 274763748.

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

• LCM of 977, 988, 287, 334
• LCM of 110, 547, 475, 718
• LCM of 107, 878, 850, 455
• LCM of 444, 363, 987, 988
• LCM of 996, 900, 941, 707

1. What is the LCM of 298, 406, 757, 348?

Answer: LCM of 298, 406, 757, 348 is 274763748.

2. How to calculate the LCM of 298, 406, 757, 348?

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 298, 406, 757, 348.

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}.