Given numbers are 456,672,385,577,121

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

The LCM of 456,672,385,577,121 is 4457117280.

Find LCM of 456,672,385,577,121 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 11 x 19 x 4 x 5 x 577 x 11 = 4457117280

Therefore, the lowest common multiple of 456,672,385,577,121 is 4457117280.

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.

456 x 672 x 385 x 577 x 121 = 8236752733440

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

385 : 1, 5, 7, 11, 35, 55, 77, 385

577 : 1, 577

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,672,385,577,121, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

672:2x 2x 2x 2x 2x 3x 7

385:5x 7x 11

577:577

121:11x 11

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 3x 7x 11 = 1848

Therefore, the value for common factors is 1848.

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 = 8236752733440/(1x1848)

LCM = 8236752733440/1848

LCM = 4457117280

Thus, we can understand that the LCM of 456,672,385,577,121 is 4457117280.

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

• LCM of 771, 597, 433, 927, 395
• LCM of 934, 261, 413, 123, 411
• LCM of 976, 619, 307, 212, 154
• LCM of 663, 885, 964, 804, 858
• LCM of 951, 378, 234, 551, 536

1. What is the LCM of 456, 672, 385, 577, 121?

Answer: LCM of 456, 672, 385, 577, 121 is 4457117280.

2. How to calculate the LCM of 456, 672, 385, 577, 121?

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 456, 672, 385, 577, 121.

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}.