Given numbers are 378,448,721,750

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

The LCM of 378,448,721,750 is 155736000.

Find LCM of 378,448,721,750 with Prime Factorization

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

2 x 3 x 7 x 9 x 32 x 103 x 125 = 155736000

Therefore, the lowest common multiple of 378,448,721,750 is 155736000.

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.

378 x 448 x 721 x 750 = 91572768000

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

721 : 1, 7, 103, 721

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,448,721,750, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

448:2x 2x 2x 2x 2x 2x 7

721:7x 103

750:2x 3x 5x 5x 5

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 7x 7 = 588

Therefore, the value for common factors is 588.

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 = 91572768000/(1x588)

LCM = 91572768000/588

LCM = 155736000

Thus, we can understand that the LCM of 378,448,721,750 is 155736000.

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

• LCM of 418, 388, 914, 419
• LCM of 917, 764, 921, 862
• LCM of 553, 333, 417, 518
• LCM of 676, 794, 573, 809
• LCM of 547, 964, 873, 426

1. What is the LCM of 378, 448, 721, 750?

Answer: LCM of 378, 448, 721, 750 is 155736000.

2. How to calculate the LCM of 378, 448, 721, 750?

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 378, 448, 721, 750.

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}.