Given numbers are 276,756,128,607

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

The LCM of 276,756,128,607 is 337744512.

Find LCM of 276,756,128,607 with Prime Factorization

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

2 x 2 x 3 x 23 x 63 x 32 x 607 = 337744512

Therefore, the lowest common multiple of 276,756,128,607 is 337744512.

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.

276 x 756 x 128 x 607 = 16211736576

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.

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

128 : 1, 2, 4, 8, 16, 32, 64, 128

607 : 1, 607

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,756,128,607, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

756:2x 2x 3x 3x 3x 7

128:2x 2x 2x 2x 2x 2x 2

607:607

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 3 = 48

Therefore, the value for common factors is 48.

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 = 16211736576/(1x48)

LCM = 16211736576/48

LCM = 337744512

Thus, we can understand that the LCM of 276,756,128,607 is 337744512.

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

• LCM of 902, 386, 927, 309
• LCM of 542, 197, 321, 123
• LCM of 425, 240, 867, 944
• LCM of 778, 883, 223, 643
• LCM of 447, 248, 429, 552

1. What is the LCM of 276, 756, 128, 607?

Answer: LCM of 276, 756, 128, 607 is 337744512.

2. How to calculate the LCM of 276, 756, 128, 607?

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 276, 756, 128, 607.

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}.