Given numbers are 536,381,235,265,145

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

The LCM of 536,381,235,265,145 is 73761798120.

Find LCM of 536,381,235,265,145 with Prime Factorization

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

5 x 536 x 381 x 47 x 53 x 29 = 73761798120

Therefore, the lowest common multiple of 536,381,235,265,145 is 73761798120.

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.

536 x 381 x 235 x 265 x 145 = 1844044953000

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

381 : 1, 3, 127, 381

235 : 1, 5, 47, 235

265 : 1, 5, 53, 265

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,381,235,265,145, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

381:3x 127

235:5x 47

265:5x 53

145:5x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 1844044953000/(1x25)

LCM = 1844044953000/25

LCM = 73761798120

Thus, we can understand that the LCM of 536,381,235,265,145 is 73761798120.

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

• LCM of 752, 218, 456, 569, 243
• LCM of 588, 176, 561, 661, 283
• LCM of 388, 861, 650, 539, 510
• LCM of 666, 343, 180, 253, 777
• LCM of 363, 515, 808, 153, 384

1. What is the LCM of 536, 381, 235, 265, 145?

Answer: LCM of 536, 381, 235, 265, 145 is 73761798120.

2. How to calculate the LCM of 536, 381, 235, 265, 145?

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 536, 381, 235, 265, 145.

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}.