Given numbers are 596,128,126,548,492

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

The LCM of 596,128,126,548,492 is 6749027712.

Find LCM of 596,128,126,548,492 with Prime Factorization

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

2 x 2 x 3 x 149 x 32 x 21 x 137 x 41 = 6749027712

Therefore, the lowest common multiple of 596,128,126,548,492 is 6749027712.

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.

596 x 128 x 126 x 548 x 492 = 2591626641408

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.

596 : 1, 2, 4, 149, 298, 596

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

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

548 : 1, 2, 4, 137, 274, 548

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,128,126,548,492, is 2.

Now, the common factors can be found like this.

596:2x 2x 149

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

126:2x 3x 3x 7

548:2x 2x 137

492:2x 2x 3x 41

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 2591626641408/(2x192)

LCM = 2591626641408/384

LCM = 6749027712

Thus, we can understand that the LCM of 596,128,126,548,492 is 6749027712.

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

• LCM of 114, 471, 512, 127, 307
• LCM of 413, 741, 948, 986, 908
• LCM of 313, 359, 697, 665, 351
• LCM of 542, 455, 862, 956, 351
• LCM of 373, 692, 383, 122, 182

1. What is the LCM of 596, 128, 126, 548, 492?

Answer: LCM of 596, 128, 126, 548, 492 is 6749027712.

2. How to calculate the LCM of 596, 128, 126, 548, 492?

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 596, 128, 126, 548, 492.

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}.