Given numbers are 576,678,226,257,877

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

The LCM of 576,678,226,257,877 is 14670119232.

Find LCM of 576,678,226,257,877 with Prime Factorization

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

2 x 3 x 113 x 96 x 1 x 1 x 257 x 877 = 14670119232

Therefore, the lowest common multiple of 576,678,226,257,877 is 14670119232.

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.

576 x 678 x 226 x 257 x 877 = 19892681678592

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

678 : 1, 2, 3, 6, 113, 226, 339, 678

226 : 1, 2, 113, 226

257 : 1, 257

877 : 1, 877

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,678,226,257,877, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

678:2x 3x 113

226:2x 113

257:257

877:877

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 3x 113 = 1356

Therefore, the value for common factors is 1356.

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 = 19892681678592/(1x1356)

LCM = 19892681678592/1356

LCM = 14670119232

Thus, we can understand that the LCM of 576,678,226,257,877 is 14670119232.

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

• LCM of 481, 546, 852, 172, 478
• LCM of 715, 488, 594, 189, 166
• LCM of 928, 104, 837, 217, 132
• LCM of 179, 577, 388, 693, 981
• LCM of 681, 553, 831, 271, 658

1. What is the LCM of 576, 678, 226, 257, 877?

Answer: LCM of 576, 678, 226, 257, 877 is 14670119232.

2. How to calculate the LCM of 576, 678, 226, 257, 877?

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 576, 678, 226, 257, 877.

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}.