Given numbers are 527,248,533,305,705

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

The LCM of 527,248,533,305,705 is 96637739640.

Find LCM of 527,248,533,305,705 with Prime Factorization

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

5 x 31 x 17 x 8 x 533 x 61 x 141 = 96637739640

Therefore, the lowest common multiple of 527,248,533,305,705 is 96637739640.

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.

527 x 248 x 533 x 305 x 705 = 14978849644200

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.

527 : 1, 17, 31, 527

248 : 1, 2, 4, 8, 31, 62, 124, 248

533 : 1, 13, 41, 533

305 : 1, 5, 61, 305

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,248,533,305,705, is 1.

Now, the common factors can be found like this.

527:17x 31

248:2x 2x 2x 31

533:13x 41

305:5x 61

705:3x 5x 47

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

5x 31 = 155

Therefore, the value for common factors is 155.

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 = 14978849644200/(1x155)

LCM = 14978849644200/155

LCM = 96637739640

Thus, we can understand that the LCM of 527,248,533,305,705 is 96637739640.

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

• LCM of 540, 827, 252, 394, 124
• LCM of 437, 653, 904, 378, 710
• LCM of 687, 328, 393, 835, 173
• LCM of 724, 807, 975, 445, 855
• LCM of 128, 150, 943, 545, 757

1. What is the LCM of 527, 248, 533, 305, 705?

Answer: LCM of 527, 248, 533, 305, 705 is 96637739640.

2. How to calculate the LCM of 527, 248, 533, 305, 705?

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 527, 248, 533, 305, 705.

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}.