Given numbers are 376,289,460,363

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

The LCM of 376,289,460,363 is 4536178680.

Find LCM of 376,289,460,363 with Prime Factorization

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

2 x 2 x 94 x 289 x 115 x 363 = 4536178680

Therefore, the lowest common multiple of 376,289,460,363 is 4536178680.

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.

376 x 289 x 460 x 363 = 18144714720

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

289 : 1, 17, 289

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,289,460,363, is 1.

Now, the common factors can be found like this.

376:2x 2x 2x 47

289:17x 17

460:2x 2x 5x 23

363:3x 11x 11

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 = 18144714720/(1x4)

LCM = 18144714720/4

LCM = 4536178680

Thus, we can understand that the LCM of 376,289,460,363 is 4536178680.

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

• LCM of 237, 490, 237, 306
• LCM of 969, 675, 848, 346
• LCM of 595, 108, 334, 420
• LCM of 936, 274, 679, 962
• LCM of 854, 426, 147, 500

1. What is the LCM of 376, 289, 460, 363?

Answer: LCM of 376, 289, 460, 363 is 4536178680.

2. How to calculate the LCM of 376, 289, 460, 363?

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 376, 289, 460, 363.

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}.