Given numbers are 274,750,468,698

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

The LCM of 274,750,468,698 is 2797060500.

Find LCM of 274,750,468,698 with Prime Factorization

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

2 x 3 x 137 x 125 x 78 x 349 = 2797060500

Therefore, the lowest common multiple of 274,750,468,698 is 2797060500.

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.

274 x 750 x 468 x 698 = 67129452000

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.

274 : 1, 2, 137, 274

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

698 : 1, 2, 349, 698

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,750,468,698, is 2.

Now, the common factors can be found like this.

274:2x 137

750:2x 3x 5x 5x 5

468:2x 2x 3x 3x 13

698:2x 349

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 3 = 12

Therefore, the value for common factors is 12.

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 = 67129452000/(2x12)

LCM = 67129452000/24

LCM = 2797060500

Thus, we can understand that the LCM of 274,750,468,698 is 2797060500.

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

• LCM of 100, 247, 186, 484
• LCM of 939, 290, 538, 413
• LCM of 743, 626, 383, 237
• LCM of 817, 496, 528, 390
• LCM of 915, 974, 614, 147

1. What is the LCM of 274, 750, 468, 698?

Answer: LCM of 274, 750, 468, 698 is 2797060500.

2. How to calculate the LCM of 274, 750, 468, 698?

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 274, 750, 468, 698.

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}.