Given numbers are 303,361,742,423,678

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

The LCM of 303,361,742,423,678 is 1293157109538.

Find LCM of 303,361,742,423,678 with Prime Factorization

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

2 x 3 x 101 x 361 x 371 x 141 x 113 = 1293157109538

Therefore, the lowest common multiple of 303,361,742,423,678 is 1293157109538.

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.

303 x 361 x 742 x 423 x 678 = 23276827971684

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.

303 : 1, 3, 101, 303

361 : 1, 19, 361

742 : 1, 2, 7, 14, 53, 106, 371, 742

423 : 1, 3, 9, 47, 141, 423

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,361,742,423,678, is 1.

Now, the common factors can be found like this.

303:3x 101

361:19x 19

742:2x 7x 53

423:3x 3x 47

678:2x 3x 113

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 23276827971684/(1x18)

LCM = 23276827971684/18

LCM = 1293157109538

Thus, we can understand that the LCM of 303,361,742,423,678 is 1293157109538.

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

• LCM of 639, 527, 225, 117, 412
• LCM of 274, 158, 317, 969, 520
• LCM of 601, 743, 375, 713, 613
• LCM of 261, 513, 559, 899, 182
• LCM of 571, 617, 960, 945, 901

1. What is the LCM of 303, 361, 742, 423, 678?

Answer: LCM of 303, 361, 742, 423, 678 is 1293157109538.

2. How to calculate the LCM of 303, 361, 742, 423, 678?

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 303, 361, 742, 423, 678.

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}.