Given numbers are 102,204,528,180,350

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

The LCM of 102,204,528,180,350 is 4712400.

Find LCM of 102,204,528,180,350 with Prime Factorization

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

2 x 2 x 3 x 5 x 17 x 1 x 1 x 44 x 3 x 35 = 4712400

Therefore, the lowest common multiple of 102,204,528,180,350 is 4712400.

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.

102 x 204 x 528 x 180 x 350 = 692157312000

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,204,528,180,350, is 2.

Now, the common factors can be found like this.

102:2x 3x 17

204:2x 2x 3x 17

528:2x 2x 2x 2x 3x 11

180:2x 2x 3x 3x 5

350:2x 5x 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 2x 2x 2x 3x 3x 3x 5x 17 = 73440

Therefore, the value for common factors is 73440.

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 = 692157312000/(2x73440)

LCM = 692157312000/146880

LCM = 4712400

Thus, we can understand that the LCM of 102,204,528,180,350 is 4712400.

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

• LCM of 895, 848, 895, 559, 379
• LCM of 860, 660, 679, 937, 914
• LCM of 597, 931, 891, 671, 546
• LCM of 330, 534, 751, 526, 735
• LCM of 575, 137, 885, 317, 320

1. What is the LCM of 102, 204, 528, 180, 350?

Answer: LCM of 102, 204, 528, 180, 350 is 4712400.

2. How to calculate the LCM of 102, 204, 528, 180, 350?

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 102, 204, 528, 180, 350.

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}.