Given numbers are 597,802,678,858,420

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

The LCM of 597,802,678,858,420 is 541578257220.

Find LCM of 597,802,678,858,420 with Prime Factorization

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

2 x 3 x 199 x 401 x 113 x 143 x 70 = 541578257220

Therefore, the lowest common multiple of 597,802,678,858,420 is 541578257220.

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.

597 x 802 x 678 x 858 x 420 = 116980903559520

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.

597 : 1, 3, 199, 597

802 : 1, 2, 401, 802

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

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,802,678,858,420, is 1.

Now, the common factors can be found like this.

597:3x 199

802:2x 401

678:2x 3x 113

858:2x 3x 11x 13

420:2x 2x 3x 5x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 116980903559520/(1x216)

LCM = 116980903559520/216

LCM = 541578257220

Thus, we can understand that the LCM of 597,802,678,858,420 is 541578257220.

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

• LCM of 105, 354, 814, 873, 455
• LCM of 620, 414, 465, 596, 948
• LCM of 778, 504, 833, 647, 314
• LCM of 326, 372, 650, 477, 822
• LCM of 198, 347, 561, 469, 783

1. What is the LCM of 597, 802, 678, 858, 420?

Answer: LCM of 597, 802, 678, 858, 420 is 541578257220.

2. How to calculate the LCM of 597, 802, 678, 858, 420?

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 597, 802, 678, 858, 420.

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}.