Given numbers are 865,742,438,558,160

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

The LCM of 865,742,438,558,160 is 209154425760.

Find LCM of 865,742,438,558,160 with Prime Factorization

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

2 x 3 x 5 x 173 x 371 x 73 x 93 x 16 = 209154425760

Therefore, the lowest common multiple of 865,742,438,558,160 is 209154425760.

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.

865 x 742 x 438 x 558 x 160 = 25098531091200

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.

865 : 1, 5, 173, 865

742 : 1, 2, 7, 14, 53, 106, 371, 742

438 : 1, 2, 3, 6, 73, 146, 219, 438

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,742,438,558,160, is 1.

Now, the common factors can be found like this.

865:5x 173

742:2x 7x 53

438:2x 3x 73

558:2x 3x 3x 31

160:2x 2x 2x 2x 2x 5

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 25098531091200/(1x120)

LCM = 25098531091200/120

LCM = 209154425760

Thus, we can understand that the LCM of 865,742,438,558,160 is 209154425760.

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

• LCM of 482, 743, 455, 210, 466
• LCM of 238, 116, 791, 201, 382
• LCM of 163, 946, 949, 664, 368
• LCM of 478, 875, 289, 739, 808
• LCM of 250, 951, 788, 396, 234

1. What is the LCM of 865, 742, 438, 558, 160?

Answer: LCM of 865, 742, 438, 558, 160 is 209154425760.

2. How to calculate the LCM of 865, 742, 438, 558, 160?

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 865, 742, 438, 558, 160.

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}.