Given numbers are 971,713,648,674,804

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

The LCM of 971,713,648,674,804 is 10129510739016.

Find LCM of 971,713,648,674,804 with Prime Factorization

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

2 x 2 x 3 x 971 x 713 x 54 x 337 x 67 = 10129510739016

Therefore, the lowest common multiple of 971,713,648,674,804 is 10129510739016.

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 713 x 648 x 674 x 804 = 243108257736384

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

713 : 1, 23, 31, 713

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

674 : 1, 2, 337, 674

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,713,648,674,804, is 1.

Now, the common factors can be found like this.

971:971

713:23x 31

648:2x 2x 2x 3x 3x 3x 3

674:2x 337

804:2x 2x 3x 67

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 3 = 24

Therefore, the value for common factors is 24.

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 = 243108257736384/(1x24)

LCM = 243108257736384/24

LCM = 10129510739016

Thus, we can understand that the LCM of 971,713,648,674,804 is 10129510739016.

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

• LCM of 599, 467, 908, 736, 695
• LCM of 880, 855, 201, 520, 165
• LCM of 770, 630, 566, 328, 284
• LCM of 177, 171, 851, 447, 679
• LCM of 577, 579, 333, 199, 244

1. What is the LCM of 971, 713, 648, 674, 804?

Answer: LCM of 971, 713, 648, 674, 804 is 10129510739016.

2. How to calculate the LCM of 971, 713, 648, 674, 804?

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, 713, 648, 674, 804.

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}.