Given numbers are 892,424,858,920,476

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

The LCM of 892,424,858,920,476 is 555102027480.

Find LCM of 892,424,858,920,476 with Prime Factorization

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

2 x 2 x 2 x 223 x 53 x 429 x 115 x 119 = 555102027480

Therefore, the lowest common multiple of 892,424,858,920,476 is 555102027480.

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.

892 x 424 x 858 x 920 x 476 = 142106119034880

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.

892 : 1, 2, 4, 223, 446, 892

424 : 1, 2, 4, 8, 53, 106, 212, 424

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,424,858,920,476, is 2.

Now, the common factors can be found like this.

892:2x 2x 223

424:2x 2x 2x 53

858:2x 3x 11x 13

920:2x 2x 2x 5x 23

476:2x 2x 7x 17

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 2 = 128

Therefore, the value for common factors is 128.

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 = 142106119034880/(2x128)

LCM = 142106119034880/256

LCM = 555102027480

Thus, we can understand that the LCM of 892,424,858,920,476 is 555102027480.

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

• LCM of 347, 461, 189, 552, 858
• LCM of 725, 921, 888, 478, 649
• LCM of 580, 280, 538, 748, 285
• LCM of 812, 388, 966, 799, 269
• LCM of 569, 173, 143, 792, 962

1. What is the LCM of 892, 424, 858, 920, 476?

Answer: LCM of 892, 424, 858, 920, 476 is 555102027480.

2. How to calculate the LCM of 892, 424, 858, 920, 476?

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 892, 424, 858, 920, 476.

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}.