Given numbers are 549,276,974,614,402

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

The LCM of 549,276,974,614,402 is 505943838324.

Find LCM of 549,276,974,614,402 with Prime Factorization

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

2 x 3 x 183 x 46 x 487 x 307 x 67 = 505943838324

Therefore, the lowest common multiple of 549,276,974,614,402 is 505943838324.

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.

549 x 276 x 974 x 614 x 402 = 36427956359328

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.

549 : 1, 3, 9, 61, 183, 549

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

974 : 1, 2, 487, 974

614 : 1, 2, 307, 614

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,276,974,614,402, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

276:2x 2x 3x 23

974:2x 487

614:2x 307

402:2x 3x 67

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 = 36427956359328/(1x72)

LCM = 36427956359328/72

LCM = 505943838324

Thus, we can understand that the LCM of 549,276,974,614,402 is 505943838324.

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

• LCM of 629, 661, 140, 598, 617
• LCM of 290, 466, 641, 480, 280
• LCM of 829, 836, 360, 313, 950
• LCM of 910, 695, 150, 687, 171
• LCM of 863, 337, 761, 931, 329

1. What is the LCM of 549, 276, 974, 614, 402?

Answer: LCM of 549, 276, 974, 614, 402 is 505943838324.

2. How to calculate the LCM of 549, 276, 974, 614, 402?

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 549, 276, 974, 614, 402.

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}.