Given numbers are 483,807,744,420

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

The LCM of 483,807,744,420 is 161109480.

Find LCM of 483,807,744,420 with Prime Factorization

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

2 x 2 x 3 x 7 x 23 x 269 x 62 x 5 = 161109480

Therefore, the lowest common multiple of 483,807,744,420 is 161109480.

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.

483 x 807 x 744 x 420 = 121798766880

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.

483 : 1, 3, 7, 21, 23, 69, 161, 483

807 : 1, 3, 269, 807

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,807,744,420, is 3.

Now, the common factors can be found like this.

483:3x 7x 23

807:3x 269

744:2x 2x 2x 3x 31

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 2x 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 121798766880/(3x252)

LCM = 121798766880/756

LCM = 161109480

Thus, we can understand that the LCM of 483,807,744,420 is 161109480.

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

• LCM of 496, 179, 735, 358
• LCM of 808, 542, 223, 134
• LCM of 476, 469, 828, 834
• LCM of 144, 264, 890, 825
• LCM of 459, 811, 457, 587

1. What is the LCM of 483, 807, 744, 420?

Answer: LCM of 483, 807, 744, 420 is 161109480.

2. How to calculate the LCM of 483, 807, 744, 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 483, 807, 744, 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}.