Given numbers are 252,512,270,232,120

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

The LCM of 252,512,270,232,120 is 14031360.

Find LCM of 252,512,270,232,120 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 7 x 64 x 3 x 29 x 1 = 14031360

Therefore, the lowest common multiple of 252,512,270,232,120 is 14031360.

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.

252 x 512 x 270 x 232 x 120 = 969847603200

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

232 : 1, 2, 4, 8, 29, 58, 116, 232

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,512,270,232,120, is 2.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

512:2x 2x 2x 2x 2x 2x 2x 2x 2

270:2x 3x 3x 3x 5

232:2x 2x 2x 29

120:2x 2x 2x 3x 5

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 3x 3x 3x 5 = 34560

Therefore, the value for common factors is 34560.

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 = 969847603200/(2x34560)

LCM = 969847603200/69120

LCM = 14031360

Thus, we can understand that the LCM of 252,512,270,232,120 is 14031360.

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

• LCM of 311, 436, 692, 113, 312
• LCM of 506, 217, 361, 356, 325
• LCM of 823, 469, 567, 966, 345
• LCM of 901, 149, 859, 966, 371
• LCM of 322, 724, 888, 444, 884

1. What is the LCM of 252, 512, 270, 232, 120?

Answer: LCM of 252, 512, 270, 232, 120 is 14031360.

2. How to calculate the LCM of 252, 512, 270, 232, 120?

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 252, 512, 270, 232, 120.

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}.