Given numbers are 632,272,706,128,460

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

The LCM of 632,272,706,128,460 is 6978442880.

Find LCM of 632,272,706,128,460 with Prime Factorization

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

2 x 2 x 2 x 2 x 79 x 17 x 353 x 8 x 115 = 6978442880

Therefore, the lowest common multiple of 632,272,706,128,460 is 6978442880.

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.

632 x 272 x 706 x 128 x 460 = 7145925509120

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.

632 : 1, 2, 4, 8, 79, 158, 316, 632

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

706 : 1, 2, 353, 706

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,272,706,128,460, is 2.

Now, the common factors can be found like this.

632:2x 2x 2x 79

272:2x 2x 2x 2x 17

706:2x 353

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

460:2x 2x 5x 23

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 2x 2x 2x 2x 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 7145925509120/(2x512)

LCM = 7145925509120/1024

LCM = 6978442880

Thus, we can understand that the LCM of 632,272,706,128,460 is 6978442880.

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

• LCM of 982, 641, 542, 286, 572
• LCM of 282, 528, 911, 465, 213
• LCM of 272, 343, 990, 966, 999
• LCM of 177, 152, 678, 383, 232
• LCM of 846, 455, 895, 690, 432

1. What is the LCM of 632, 272, 706, 128, 460?

Answer: LCM of 632, 272, 706, 128, 460 is 6978442880.

2. How to calculate the LCM of 632, 272, 706, 128, 460?

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 632, 272, 706, 128, 460.

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}.