Given numbers are 306,252,134,496,948

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

The LCM of 306,252,134,496,948 is 2811726288.

Find LCM of 306,252,134,496,948 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 7 x 67 x 124 x 79 = 2811726288

Therefore, the lowest common multiple of 306,252,134,496,948 is 2811726288.

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.

306 x 252 x 134 x 496 x 948 = 4858663025664

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

134 : 1, 2, 67, 134

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,252,134,496,948, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

252:2x 2x 3x 3x 7

134:2x 67

496:2x 2x 2x 2x 31

948:2x 2x 3x 79

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 4858663025664/(2x864)

LCM = 4858663025664/1728

LCM = 2811726288

Thus, we can understand that the LCM of 306,252,134,496,948 is 2811726288.

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

• LCM of 868, 781, 305, 240, 850
• LCM of 237, 583, 954, 907, 880
• LCM of 646, 234, 538, 735, 290
• LCM of 426, 481, 454, 761, 571
• LCM of 781, 650, 352, 465, 167

1. What is the LCM of 306, 252, 134, 496, 948?

Answer: LCM of 306, 252, 134, 496, 948 is 2811726288.

2. How to calculate the LCM of 306, 252, 134, 496, 948?

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 306, 252, 134, 496, 948.

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}.