Given numbers are 741,312,390,750

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

The LCM of 741,312,390,750 is 741000.

Find LCM of 741,312,390,750 with Prime Factorization

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

2 x 3 x 5 x 13 x 19 x 4 x 1 x 25 = 741000

Therefore, the lowest common multiple of 741,312,390,750 is 741000.

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.

741 x 312 x 390 x 750 = 67623660000

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,312,390,750, is 3.

Now, the common factors can be found like this.

741:3x 13x 19

312:2x 2x 2x 3x 13

390:2x 3x 5x 13

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 3x 5x 13x 13 = 30420

Therefore, the value for common factors is 30420.

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 = 67623660000/(3x30420)

LCM = 67623660000/91260

LCM = 741000

Thus, we can understand that the LCM of 741,312,390,750 is 741000.

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

• LCM of 650, 604, 826, 814
• LCM of 800, 535, 141, 869
• LCM of 763, 731, 923, 760
• LCM of 655, 866, 283, 692
• LCM of 731, 272, 420, 167

1. What is the LCM of 741, 312, 390, 750?

Answer: LCM of 741, 312, 390, 750 is 741000.

2. How to calculate the LCM of 741, 312, 390, 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 741, 312, 390, 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}.