Given numbers are 378,368,975,141,423

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

The LCM of 378,368,975,141,423 is 1062406800.

Find LCM of 378,368,975,141,423 with Prime Factorization

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

2 x 3 x 3 x 47 x 21 x 184 x 325 x 1 x 1 = 1062406800

Therefore, the lowest common multiple of 378,368,975,141,423 is 1062406800.

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.

378 x 368 x 975 x 141 x 423 = 8089165375200

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

141 : 1, 3, 47, 141

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,368,975,141,423, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

368:2x 2x 2x 2x 23

975:3x 5x 5x 13

141:3x 47

423:3x 3x 47

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 3x 3x 3x 47 = 7614

Therefore, the value for common factors is 7614.

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 = 8089165375200/(1x7614)

LCM = 8089165375200/7614

LCM = 1062406800

Thus, we can understand that the LCM of 378,368,975,141,423 is 1062406800.

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

• LCM of 755, 561, 115, 336, 355
• LCM of 985, 551, 179, 248, 744
• LCM of 935, 538, 555, 752, 928
• LCM of 456, 485, 776, 822, 400
• LCM of 171, 929, 788, 630, 670

1. What is the LCM of 378, 368, 975, 141, 423?

Answer: LCM of 378, 368, 975, 141, 423 is 1062406800.

2. How to calculate the LCM of 378, 368, 975, 141, 423?

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 378, 368, 975, 141, 423.

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}.