Given numbers are 442,690,971,796,497

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

The LCM of 442,690,971,796,497 is 29288697268740.

Find LCM of 442,690,971,796,497 with Prime Factorization

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

2 x 221 x 345 x 971 x 398 x 497 = 29288697268740

Therefore, the lowest common multiple of 442,690,971,796,497 is 29288697268740.

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.

442 x 690 x 971 x 796 x 497 = 117154789074960

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

971 : 1, 971

796 : 1, 2, 4, 199, 398, 796

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,690,971,796,497, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

690:2x 3x 5x 23

971:971

796:2x 2x 199

497:7x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 117154789074960/(1x4)

LCM = 117154789074960/4

LCM = 29288697268740

Thus, we can understand that the LCM of 442,690,971,796,497 is 29288697268740.

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

• LCM of 922, 486, 810, 856, 432
• LCM of 823, 350, 945, 714, 316
• LCM of 277, 290, 503, 448, 628
• LCM of 549, 121, 772, 724, 105
• LCM of 353, 393, 397, 987, 145

1. What is the LCM of 442, 690, 971, 796, 497?

Answer: LCM of 442, 690, 971, 796, 497 is 29288697268740.

2. How to calculate the LCM of 442, 690, 971, 796, 497?

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 442, 690, 971, 796, 497.

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}.