Given numbers are 135,128,253,350,620

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

The LCM of 135,128,253,350,620 is 4743446400.

Find LCM of 135,128,253,350,620 with Prime Factorization

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

2 x 2 x 5 x 27 x 32 x 253 x 35 x 31 = 4743446400

Therefore, the lowest common multiple of 135,128,253,350,620 is 4743446400.

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.

135 x 128 x 253 x 350 x 620 = 948689280000

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

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

253 : 1, 11, 23, 253

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,128,253,350,620, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

128:2x 2x 2x 2x 2x 2x 2

253:11x 23

350:2x 5x 5x 7

620:2x 2x 5x 31

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 948689280000/(1x200)

LCM = 948689280000/200

LCM = 4743446400

Thus, we can understand that the LCM of 135,128,253,350,620 is 4743446400.

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

• LCM of 775, 113, 843, 100, 932
• LCM of 560, 641, 602, 414, 962
• LCM of 609, 100, 573, 584, 868
• LCM of 601, 884, 221, 828, 997
• LCM of 609, 526, 778, 194, 126

1. What is the LCM of 135, 128, 253, 350, 620?

Answer: LCM of 135, 128, 253, 350, 620 is 4743446400.

2. How to calculate the LCM of 135, 128, 253, 350, 620?

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 135, 128, 253, 350, 620.

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}.