Given numbers are 645,670,780,930

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

The LCM of 645,670,780,930 is 69662580.

Find LCM of 645,670,780,930 with Prime Factorization

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

2 x 3 x 5 x 43 x 67 x 26 x 31 = 69662580

Therefore, the lowest common multiple of 645,670,780,930 is 69662580.

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.

645 x 670 x 780 x 930 = 313481610000

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,670,780,930, is 5.

Now, the common factors can be found like this.

645:3x 5x 43

670:2x 5x 67

780:2x 2x 3x 5x 13

930:2x 3x 5x 31

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 313481610000/(5x900)

LCM = 313481610000/4500

LCM = 69662580

Thus, we can understand that the LCM of 645,670,780,930 is 69662580.

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

• LCM of 531, 317, 987, 609
• LCM of 224, 428, 956, 828
• LCM of 766, 985, 291, 735
• LCM of 345, 968, 615, 484
• LCM of 482, 132, 257, 785

1. What is the LCM of 645, 670, 780, 930?

Answer: LCM of 645, 670, 780, 930 is 69662580.

2. How to calculate the LCM of 645, 670, 780, 930?

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 645, 670, 780, 930.

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}.