Given numbers are 484,410,128,157,614

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

The LCM of 484,410,128,157,614 is 153033752960.

Find LCM of 484,410,128,157,614 with Prime Factorization

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

2 x 2 x 121 x 205 x 32 x 157 x 307 = 153033752960

Therefore, the lowest common multiple of 484,410,128,157,614 is 153033752960.

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.

484 x 410 x 128 x 157 x 614 = 2448540047360

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

410 : 1, 2, 5, 10, 41, 82, 205, 410

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

157 : 1, 157

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,410,128,157,614, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

410:2x 5x 41

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

157:157

614:2x 307

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 = 2448540047360/(1x16)

LCM = 2448540047360/16

LCM = 153033752960

Thus, we can understand that the LCM of 484,410,128,157,614 is 153033752960.

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

• LCM of 422, 634, 741, 188, 339
• LCM of 960, 952, 795, 997, 446
• LCM of 801, 528, 734, 658, 487
• LCM of 134, 478, 815, 997, 163
• LCM of 757, 620, 275, 718, 328

1. What is the LCM of 484, 410, 128, 157, 614?

Answer: LCM of 484, 410, 128, 157, 614 is 153033752960.

2. How to calculate the LCM of 484, 410, 128, 157, 614?

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 484, 410, 128, 157, 614.

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}.