Given numbers are 385,363,256,350,630

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

The LCM of 385,363,256,350,630 is 48787200.

Find LCM of 385,363,256,350,630 with Prime Factorization

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

2 x 3 x 5 x 7 x 11 x 1 x 11 x 128 x 5 x 3 = 48787200

Therefore, the lowest common multiple of 385,363,256,350,630 is 48787200.

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.

385 x 363 x 256 x 350 x 630 = 7888890240000

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

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

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,363,256,350,630, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

363:3x 11x 11

256:2x 2x 2x 2x 2x 2x 2x 2

350:2x 5x 5x 7

630:2x 3x 3x 5x 7

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 3x 5x 5x 7x 7x 11 = 161700

Therefore, the value for common factors is 161700.

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 = 7888890240000/(1x161700)

LCM = 7888890240000/161700

LCM = 48787200

Thus, we can understand that the LCM of 385,363,256,350,630 is 48787200.

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

• LCM of 266, 691, 304, 191, 477
• LCM of 530, 675, 583, 105, 672
• LCM of 838, 921, 427, 616, 407
• LCM of 959, 195, 111, 939, 696
• LCM of 271, 826, 883, 520, 383

1. What is the LCM of 385, 363, 256, 350, 630?

Answer: LCM of 385, 363, 256, 350, 630 is 48787200.

2. How to calculate the LCM of 385, 363, 256, 350, 630?

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 385, 363, 256, 350, 630.

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}.