Given numbers are 477,460,546,797,894

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

The LCM of 477,460,546,797,894 is 2371167276660.

Find LCM of 477,460,546,797,894 with Prime Factorization

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

2 x 3 x 159 x 230 x 91 x 797 x 149 = 2371167276660

Therefore, the lowest common multiple of 477,460,546,797,894 is 2371167276660.

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.

477 x 460 x 546 x 797 x 894 = 85362021959760

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.

477 : 1, 3, 9, 53, 159, 477

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

797 : 1, 797

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,460,546,797,894, is 1.

Now, the common factors can be found like this.

477:3x 3x 53

460:2x 2x 5x 23

546:2x 3x 7x 13

797:797

894:2x 3x 149

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 3 = 36

Therefore, the value for common factors is 36.

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 = 85362021959760/(1x36)

LCM = 85362021959760/36

LCM = 2371167276660

Thus, we can understand that the LCM of 477,460,546,797,894 is 2371167276660.

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

• LCM of 557, 313, 821, 754, 440
• LCM of 645, 224, 436, 171, 670
• LCM of 139, 731, 994, 846, 441
• LCM of 449, 233, 985, 710, 788
• LCM of 231, 250, 980, 953, 829

1. What is the LCM of 477, 460, 546, 797, 894?

Answer: LCM of 477, 460, 546, 797, 894 is 2371167276660.

2. How to calculate the LCM of 477, 460, 546, 797, 894?

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 477, 460, 546, 797, 894.

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}.