Given numbers are 671,192,704,201,385

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

The LCM of 671,192,704,201,385 is 302111040.

Find LCM of 671,192,704,201,385 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 61 x 1 x 1 x 67 x 35 = 302111040

Therefore, the lowest common multiple of 671,192,704,201,385 is 302111040.

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.

671 x 192 x 704 x 201 x 385 = 7018643681280

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.

671 : 1, 11, 61, 671

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

201 : 1, 3, 67, 201

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,192,704,201,385, is 1.

Now, the common factors can be found like this.

671:11x 61

192:2x 2x 2x 2x 2x 2x 3

704:2x 2x 2x 2x 2x 2x 11

201:3x 67

385:5x 7x 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 2x 2x 2x 2x 2x 3x 11x 11 = 23232

Therefore, the value for common factors is 23232.

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 = 7018643681280/(1x23232)

LCM = 7018643681280/23232

LCM = 302111040

Thus, we can understand that the LCM of 671,192,704,201,385 is 302111040.

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

• LCM of 145, 858, 893, 621, 549
• LCM of 343, 867, 931, 999, 537
• LCM of 567, 755, 708, 867, 839
• LCM of 961, 775, 963, 443, 131
• LCM of 355, 769, 992, 893, 787

1. What is the LCM of 671, 192, 704, 201, 385?

Answer: LCM of 671, 192, 704, 201, 385 is 302111040.

2. How to calculate the LCM of 671, 192, 704, 201, 385?

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 671, 192, 704, 201, 385.

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}.