Given numbers are 750,201,769,903,420

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

The LCM of 750,201,769,903,420 is 23262634500.

Find LCM of 750,201,769,903,420 with Prime Factorization

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

2 x 3 x 5 x 7 x 25 x 67 x 769 x 43 x 2 = 23262634500

Therefore, the lowest common multiple of 750,201,769,903,420 is 23262634500.

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.

750 x 201 x 769 x 903 x 420 = 43966379205000

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

201 : 1, 3, 67, 201

769 : 1, 769

903 : 1, 3, 7, 21, 43, 129, 301, 903

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,201,769,903,420, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

201:3x 67

769:769

903:3x 7x 43

420:2x 2x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 5x 7 = 1890

Therefore, the value for common factors is 1890.

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 = 43966379205000/(1x1890)

LCM = 43966379205000/1890

LCM = 23262634500

Thus, we can understand that the LCM of 750,201,769,903,420 is 23262634500.

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

• LCM of 160, 733, 792, 575, 941
• LCM of 674, 748, 978, 281, 416
• LCM of 279, 713, 882, 339, 487
• LCM of 384, 558, 267, 830, 560
• LCM of 598, 505, 723, 659, 168

1. What is the LCM of 750, 201, 769, 903, 420?

Answer: LCM of 750, 201, 769, 903, 420 is 23262634500.

2. How to calculate the LCM of 750, 201, 769, 903, 420?

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 750, 201, 769, 903, 420.

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}.