Given numbers are 816,729,528,957,670

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

The LCM of 816,729,528,957,670 is 21190047120.

Find LCM of 816,729,528,957,670 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 17 x 243 x 1 x 29 x 335 = 21190047120

Therefore, the lowest common multiple of 816,729,528,957,670 is 21190047120.

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.

816 x 729 x 528 x 957 x 670 = 201390207828480

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.

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

729 : 1, 3, 9, 27, 81, 243, 729

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

957 : 1, 3, 11, 29, 33, 87, 319, 957

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 816,729,528,957,670, is 1.

Now, the common factors can be found like this.

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

729:3x 3x 3x 3x 3x 3

528:2x 2x 2x 2x 3x 11

957:3x 11x 29

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 2x 2x 2x 2x 3x 3x 3x 11 = 9504

Therefore, the value for common factors is 9504.

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 = 201390207828480/(1x9504)

LCM = 201390207828480/9504

LCM = 21190047120

Thus, we can understand that the LCM of 816,729,528,957,670 is 21190047120.

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

• LCM of 645, 525, 627, 867, 623
• LCM of 614, 761, 601, 392, 520
• LCM of 912, 114, 608, 857, 941
• LCM of 705, 383, 774, 423, 553
• LCM of 432, 881, 268, 132, 844

1. What is the LCM of 816, 729, 528, 957, 670?

Answer: LCM of 816, 729, 528, 957, 670 is 21190047120.

2. How to calculate the LCM of 816, 729, 528, 957, 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 816, 729, 528, 957, 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}.