Given numbers are 327,107,680,154,910

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

The LCM of 327,107,680,154,910 is 23816312520.

Find LCM of 327,107,680,154,910 with Prime Factorization

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

2 x 5 x 7 x 327 x 107 x 68 x 11 x 13 = 23816312520

Therefore, the lowest common multiple of 327,107,680,154,910 is 23816312520.

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.

327 x 107 x 680 x 154 x 910 = 3334283752800

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.

327 : 1, 3, 109, 327

107 : 1, 107

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

154 : 1, 2, 7, 11, 14, 22, 77, 154

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,107,680,154,910, is 1.

Now, the common factors can be found like this.

327:3x 109

107:107

680:2x 2x 2x 5x 17

154:2x 7x 11

910:2x 5x 7x 13

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 5x 7 = 140

Therefore, the value for common factors is 140.

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 = 3334283752800/(1x140)

LCM = 3334283752800/140

LCM = 23816312520

Thus, we can understand that the LCM of 327,107,680,154,910 is 23816312520.

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

• LCM of 147, 508, 320, 437, 355
• LCM of 962, 284, 688, 884, 744
• LCM of 254, 416, 242, 478, 600
• LCM of 321, 739, 831, 916, 160
• LCM of 245, 256, 314, 364, 108

1. What is the LCM of 327, 107, 680, 154, 910?

Answer: LCM of 327, 107, 680, 154, 910 is 23816312520.

2. How to calculate the LCM of 327, 107, 680, 154, 910?

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 327, 107, 680, 154, 910.

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}.