Given numbers are 971,694,782,313,670

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

The LCM of 971,694,782,313,670 is 27627691783570.

Find LCM of 971,694,782,313,670 with Prime Factorization

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

2 x 971 x 347 x 391 x 313 x 335 = 27627691783570

Therefore, the lowest common multiple of 971,694,782,313,670 is 27627691783570.

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 694 x 782 x 313 x 670 = 110510767134280

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

694 : 1, 2, 347, 694

782 : 1, 2, 17, 23, 34, 46, 391, 782

313 : 1, 313

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,694,782,313,670, is 1.

Now, the common factors can be found like this.

971:971

694:2x 347

782:2x 17x 23

313:313

670:2x 5x 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 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 = 110510767134280/(1x4)

LCM = 110510767134280/4

LCM = 27627691783570

Thus, we can understand that the LCM of 971,694,782,313,670 is 27627691783570.

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

• LCM of 247, 143, 922, 655, 791
• LCM of 597, 270, 286, 284, 518
• LCM of 600, 407, 443, 319, 348
• LCM of 525, 787, 799, 915, 748
• LCM of 809, 598, 927, 574, 636

1. What is the LCM of 971, 694, 782, 313, 670?

Answer: LCM of 971, 694, 782, 313, 670 is 27627691783570.

2. How to calculate the LCM of 971, 694, 782, 313, 670?

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, 694, 782, 313, 670.

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}.