Given numbers are 745,820,250,169,780

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

The LCM of 745,820,250,169,780 is 1548631500.

Find LCM of 745,820,250,169,780 with Prime Factorization

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

2 x 2 x 5 x 13 x 149 x 41 x 25 x 13 x 3 = 1548631500

Therefore, the lowest common multiple of 745,820,250,169,780 is 1548631500.

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.

745 x 820 x 250 x 169 x 780 = 20132209500000

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.

745 : 1, 5, 149, 745

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

250 : 1, 2, 5, 10, 25, 50, 125, 250

169 : 1, 13, 169

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,820,250,169,780, is 1.

Now, the common factors can be found like this.

745:5x 149

820:2x 2x 5x 41

250:2x 5x 5x 5

169:13x 13

780:2x 2x 3x 5x 13

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 5x 5x 5x 13 = 13000

Therefore, the value for common factors is 13000.

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 = 20132209500000/(1x13000)

LCM = 20132209500000/13000

LCM = 1548631500

Thus, we can understand that the LCM of 745,820,250,169,780 is 1548631500.

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

• LCM of 681, 428, 158, 639, 599
• LCM of 321, 938, 707, 132, 517
• LCM of 419, 239, 712, 128, 401
• LCM of 900, 835, 711, 452, 571
• LCM of 126, 931, 619, 979, 569

1. What is the LCM of 745, 820, 250, 169, 780?

Answer: LCM of 745, 820, 250, 169, 780 is 1548631500.

2. How to calculate the LCM of 745, 820, 250, 169, 780?

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 745, 820, 250, 169, 780.

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}.