Given numbers are 276,614,738,969

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

The LCM of 276,614,738,969 is 3366317628.

Find LCM of 276,614,738,969 with Prime Factorization

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

2 x 3 x 46 x 307 x 123 x 323 = 3366317628

Therefore, the lowest common multiple of 276,614,738,969 is 3366317628.

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 614 x 738 x 969 = 121187434608

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

614 : 1, 2, 307, 614

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,614,738,969, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

614:2x 307

738:2x 3x 3x 41

969:3x 17x 19

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 3 = 36

Therefore, the value for common factors is 36.

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 = 121187434608/(1x36)

LCM = 121187434608/36

LCM = 3366317628

Thus, we can understand that the LCM of 276,614,738,969 is 3366317628.

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

• LCM of 594, 719, 365, 856
• LCM of 822, 355, 910, 820
• LCM of 994, 260, 422, 583
• LCM of 102, 157, 929, 900
• LCM of 908, 969, 661, 768

1. What is the LCM of 276, 614, 738, 969?

Answer: LCM of 276, 614, 738, 969 is 3366317628.

2. How to calculate the LCM of 276, 614, 738, 969?

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, 614, 738, 969.

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}.