Given numbers are 698,126,311,340

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

The LCM of 698,126,311,340 is 2324905380.

Find LCM of 698,126,311,340 with Prime Factorization

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

2 x 349 x 63 x 311 x 170 = 2324905380

Therefore, the lowest common multiple of 698,126,311,340 is 2324905380.

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.

698 x 126 x 311 x 340 = 9299621520

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.

698 : 1, 2, 349, 698

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

311 : 1, 311

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,126,311,340, is 1.

Now, the common factors can be found like this.

698:2x 349

126:2x 3x 3x 7

311:311

340:2x 2x 5x 17

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 = 9299621520/(1x4)

LCM = 9299621520/4

LCM = 2324905380

Thus, we can understand that the LCM of 698,126,311,340 is 2324905380.

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

• LCM of 272, 760, 424, 952
• LCM of 692, 319, 620, 677
• LCM of 437, 376, 229, 804
• LCM of 943, 467, 884, 507
• LCM of 495, 406, 315, 598

1. What is the LCM of 698, 126, 311, 340?

Answer: LCM of 698, 126, 311, 340 is 2324905380.

2. How to calculate the LCM of 698, 126, 311, 340?

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 698, 126, 311, 340.

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}.