Given numbers are 741,240,720,540

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

The LCM of 741,240,720,540 is 533520.

Find LCM of 741,240,720,540 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 5 x 247 x 1 x 1 x 3 = 533520

Therefore, the lowest common multiple of 741,240,720,540 is 533520.

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 240 x 720 x 540 = 69144192000

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

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,240,720,540, is 3.

Now, the common factors can be found like this.

741:3x 13x 19

240:2x 2x 2x 2x 3x 5

720:2x 2x 2x 2x 3x 3x 5

540:2x 2x 3x 3x 3x 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 2x 2x 2x 2x 3x 3x 3x 5x 5 = 43200

Therefore, the value for common factors is 43200.

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 = 69144192000/(3x43200)

LCM = 69144192000/129600

LCM = 533520

Thus, we can understand that the LCM of 741,240,720,540 is 533520.

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

• LCM of 770, 314, 228, 939
• LCM of 865, 551, 345, 974
• LCM of 666, 710, 653, 386
• LCM of 916, 752, 314, 410
• LCM of 164, 130, 817, 165

1. What is the LCM of 741, 240, 720, 540?

Answer: LCM of 741, 240, 720, 540 is 533520.

2. How to calculate the LCM of 741, 240, 720, 540?

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, 240, 720, 540.

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}.