Given numbers are 780,150,676,737

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

The LCM of 780,150,676,737 is 37365900.

Find LCM of 780,150,676,737 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 1 x 5 x 13 x 737 = 37365900

Therefore, the lowest common multiple of 780,150,676,737 is 37365900.

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 150 x 676 x 737 = 58290804000

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

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,150,676,737, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

150:2x 3x 5x 5

676:2x 2x 13x 13

737:11x 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 3x 5x 13 = 1560

Therefore, the value for common factors is 1560.

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 = 58290804000/(1x1560)

LCM = 58290804000/1560

LCM = 37365900

Thus, we can understand that the LCM of 780,150,676,737 is 37365900.

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

• LCM of 288, 787, 633, 999
• LCM of 250, 181, 756, 369
• LCM of 406, 443, 181, 876
• LCM of 874, 732, 163, 994
• LCM of 284, 414, 980, 790

1. What is the LCM of 780, 150, 676, 737?

Answer: LCM of 780, 150, 676, 737 is 37365900.

2. How to calculate the LCM of 780, 150, 676, 737?

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, 150, 676, 737.

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}.