Given numbers are 974,816,602,488,880

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

The LCM of 974,816,602,488,880 is 401308298160.

Find LCM of 974,816,602,488,880 with Prime Factorization

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

2 x 2 x 2 x 2 x 487 x 51 x 301 x 61 x 55 = 401308298160

Therefore, the lowest common multiple of 974,816,602,488,880 is 401308298160.

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.

974 x 816 x 602 x 488 x 880 = 205469848657920

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.

974 : 1, 2, 487, 974

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

602 : 1, 2, 7, 14, 43, 86, 301, 602

488 : 1, 2, 4, 8, 61, 122, 244, 488

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,816,602,488,880, is 2.

Now, the common factors can be found like this.

974:2x 487

816:2x 2x 2x 2x 3x 17

602:2x 7x 43

488:2x 2x 2x 61

880:2x 2x 2x 2x 5x 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 2x 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 205469848657920/(2x256)

LCM = 205469848657920/512

LCM = 401308298160

Thus, we can understand that the LCM of 974,816,602,488,880 is 401308298160.

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

• LCM of 903, 361, 710, 682, 619
• LCM of 824, 954, 467, 549, 156
• LCM of 388, 167, 141, 192, 291
• LCM of 973, 337, 773, 233, 236
• LCM of 676, 532, 200, 904, 511

1. What is the LCM of 974, 816, 602, 488, 880?

Answer: LCM of 974, 816, 602, 488, 880 is 401308298160.

2. How to calculate the LCM of 974, 816, 602, 488, 880?

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 974, 816, 602, 488, 880.

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}.