Given numbers are 538,269,516,446

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

The LCM of 538,269,516,446 is 30953292.

Find LCM of 538,269,516,446 with Prime Factorization

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

2 x 269 x 1 x 1 x 258 x 223 = 30953292

Therefore, the lowest common multiple of 538,269,516,446 is 30953292.

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.

538 x 269 x 516 x 446 = 33305742192

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.

538 : 1, 2, 269, 538

269 : 1, 269

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,269,516,446, is 1.

Now, the common factors can be found like this.

538:2x 269

269:269

516:2x 2x 3x 43

446:2x 223

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 269 = 1076

Therefore, the value for common factors is 1076.

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 = 33305742192/(1x1076)

LCM = 33305742192/1076

LCM = 30953292

Thus, we can understand that the LCM of 538,269,516,446 is 30953292.

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

• LCM of 213, 688, 511, 351
• LCM of 322, 592, 964, 113
• LCM of 169, 321, 171, 381
• LCM of 302, 344, 927, 139
• LCM of 898, 124, 295, 578

1. What is the LCM of 538, 269, 516, 446?

Answer: LCM of 538, 269, 516, 446 is 30953292.

2. How to calculate the LCM of 538, 269, 516, 446?

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 538, 269, 516, 446.

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}.