Given numbers are 354,480,643,242,252

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

The LCM of 354,480,643,242,252 is 46271000160.

Find LCM of 354,480,643,242,252 with Prime Factorization

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

2 x 2 x 3 x 59 x 40 x 643 x 121 x 21 = 46271000160

Therefore, the lowest common multiple of 354,480,643,242,252 is 46271000160.

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.

354 x 480 x 643 x 242 x 252 = 6663024023040

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

643 : 1, 643

242 : 1, 2, 11, 22, 121, 242

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,480,643,242,252, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

480:2x 2x 2x 2x 2x 3x 5

643:643

242:2x 11x 11

252:2x 2x 3x 3x 7

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 6663024023040/(1x144)

LCM = 6663024023040/144

LCM = 46271000160

Thus, we can understand that the LCM of 354,480,643,242,252 is 46271000160.

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

• LCM of 482, 936, 609, 195, 933
• LCM of 524, 229, 774, 960, 586
• LCM of 739, 849, 967, 383, 389
• LCM of 305, 155, 643, 328, 678
• LCM of 162, 753, 243, 100, 913

1. What is the LCM of 354, 480, 643, 242, 252?

Answer: LCM of 354, 480, 643, 242, 252 is 46271000160.

2. How to calculate the LCM of 354, 480, 643, 242, 252?

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 354, 480, 643, 242, 252.

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}.