Given numbers are 971,728,588,546,679

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

The LCM of 971,728,588,546,679 is 1439930856.

Find LCM of 971,728,588,546,679 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 971 x 2 x 7 x 1 x 97 = 1439930856

Therefore, the lowest common multiple of 971,728,588,546,679 is 1439930856.

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.

971 x 728 x 588 x 546 x 679 = 154095640485696

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.

971 : 1, 971

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,728,588,546,679, is 1.

Now, the common factors can be found like this.

971:971

728:2x 2x 2x 7x 13

588:2x 2x 3x 7x 7

546:2x 3x 7x 13

679:7x 97

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 7x 7x 7x 13 = 107016

Therefore, the value for common factors is 107016.

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 = 154095640485696/(1x107016)

LCM = 154095640485696/107016

LCM = 1439930856

Thus, we can understand that the LCM of 971,728,588,546,679 is 1439930856.

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

• LCM of 777, 273, 200, 884, 564
• LCM of 912, 148, 323, 581, 469
• LCM of 491, 423, 233, 911, 100
• LCM of 604, 392, 326, 985, 205
• LCM of 997, 151, 306, 521, 849

1. What is the LCM of 971, 728, 588, 546, 679?

Answer: LCM of 971, 728, 588, 546, 679 is 1439930856.

2. How to calculate the LCM of 971, 728, 588, 546, 679?

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 971, 728, 588, 546, 679.

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}.