Given numbers are 549,316,814,974

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

The LCM of 549,316,814,974 is 34386090156.

Find LCM of 549,316,814,974 with Prime Factorization

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

2 x 549 x 158 x 407 x 487 = 34386090156

Therefore, the lowest common multiple of 549,316,814,974 is 34386090156.

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 316 x 814 x 974 = 137544360624

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

316 : 1, 2, 4, 79, 158, 316

814 : 1, 2, 11, 22, 37, 74, 407, 814

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,316,814,974, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

316:2x 2x 79

814:2x 11x 37

974:2x 487

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 137544360624/(1x4)

LCM = 137544360624/4

LCM = 34386090156

Thus, we can understand that the LCM of 549,316,814,974 is 34386090156.

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

• LCM of 333, 878, 788, 466
• LCM of 144, 989, 302, 999
• LCM of 438, 917, 138, 700
• LCM of 849, 545, 504, 709
• LCM of 302, 473, 539, 377

1. What is the LCM of 549, 316, 814, 974?

Answer: LCM of 549, 316, 814, 974 is 34386090156.

2. How to calculate the LCM of 549, 316, 814, 974?

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, 316, 814, 974.

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}.