Given numbers are 780,970,719,538,920

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

The LCM of 780,970,719,538,920 is 673139907960.

Find LCM of 780,970,719,538,920 with Prime Factorization

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

2 x 2 x 5 x 39 x 97 x 719 x 269 x 46 = 673139907960

Therefore, the lowest common multiple of 780,970,719,538,920 is 673139907960.

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.

780 x 970 x 719 x 538 x 920 = 269255963184000

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.

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

970 : 1, 2, 5, 10, 97, 194, 485, 970

719 : 1, 719

538 : 1, 2, 269, 538

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,970,719,538,920, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

970:2x 5x 97

719:719

538:2x 269

920:2x 2x 2x 5x 23

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 269255963184000/(1x400)

LCM = 269255963184000/400

LCM = 673139907960

Thus, we can understand that the LCM of 780,970,719,538,920 is 673139907960.

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

• LCM of 644, 941, 799, 723, 846
• LCM of 593, 848, 388, 661, 881
• LCM of 947, 143, 746, 954, 743
• LCM of 374, 653, 531, 582, 864
• LCM of 747, 573, 460, 278, 452

1. What is the LCM of 780, 970, 719, 538, 920?

Answer: LCM of 780, 970, 719, 538, 920 is 673139907960.

2. How to calculate the LCM of 780, 970, 719, 538, 920?

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 780, 970, 719, 538, 920.

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}.