Given numbers are 752,408,310,133,533

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

The LCM of 752,408,310,133,533 is 421403913840.

Find LCM of 752,408,310,133,533 with Prime Factorization

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

2 x 2 x 2 x 94 x 51 x 155 x 133 x 533 = 421403913840

Therefore, the lowest common multiple of 752,408,310,133,533 is 421403913840.

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.

752 x 408 x 310 x 133 x 533 = 6742462621440

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

310 : 1, 2, 5, 10, 31, 62, 155, 310

133 : 1, 7, 19, 133

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,408,310,133,533, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

408:2x 2x 2x 3x 17

310:2x 5x 31

133:7x 19

533:13x 41

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 2 = 16

Therefore, the value for common factors is 16.

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 = 6742462621440/(1x16)

LCM = 6742462621440/16

LCM = 421403913840

Thus, we can understand that the LCM of 752,408,310,133,533 is 421403913840.

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

• LCM of 284, 935, 799, 679, 154
• LCM of 688, 168, 569, 942, 833
• LCM of 682, 139, 587, 335, 379
• LCM of 862, 209, 690, 913, 624
• LCM of 102, 247, 804, 848, 406

1. What is the LCM of 752, 408, 310, 133, 533?

Answer: LCM of 752, 408, 310, 133, 533 is 421403913840.

2. How to calculate the LCM of 752, 408, 310, 133, 533?

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 752, 408, 310, 133, 533.

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}.