Given numbers are 750,993,144,276

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

The LCM of 750,993,144,276 is 137034000.

Find LCM of 750,993,144,276 with Prime Factorization

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

2 x 2 x 3 x 125 x 331 x 12 x 23 = 137034000

Therefore, the lowest common multiple of 750,993,144,276 is 137034000.

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 993 x 144 x 276 = 29599344000

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

993 : 1, 3, 331, 993

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,993,144,276, is 3.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

993:3x 331

144:2x 2x 2x 2x 3x 3

276:2x 2x 3x 23

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 29599344000/(3x72)

LCM = 29599344000/216

LCM = 137034000

Thus, we can understand that the LCM of 750,993,144,276 is 137034000.

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

• LCM of 473, 342, 768, 494
• LCM of 459, 437, 666, 544
• LCM of 752, 260, 548, 428
• LCM of 753, 879, 787, 938
• LCM of 590, 825, 344, 849

1. What is the LCM of 750, 993, 144, 276?

Answer: LCM of 750, 993, 144, 276 is 137034000.

2. How to calculate the LCM of 750, 993, 144, 276?

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, 993, 144, 276.

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}.