Given numbers are 378,598,650,278,908

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

The LCM of 378,598,650,278,908 is 178309158300.

Find LCM of 378,598,650,278,908 with Prime Factorization

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

2 x 13 x 189 x 23 x 25 x 139 x 454 = 178309158300

Therefore, the lowest common multiple of 378,598,650,278,908 is 178309158300.

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 598 x 650 x 278 x 908 = 37088304926400

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

278 : 1, 2, 139, 278

908 : 1, 2, 4, 227, 454, 908

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,598,650,278,908, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

598:2x 13x 23

650:2x 5x 5x 13

278:2x 139

908:2x 2x 227

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 13 = 104

Therefore, the value for common factors is 104.

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 = 37088304926400/(2x104)

LCM = 37088304926400/208

LCM = 178309158300

Thus, we can understand that the LCM of 378,598,650,278,908 is 178309158300.

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

• LCM of 557, 359, 474, 151, 915
• LCM of 424, 376, 978, 902, 187
• LCM of 698, 186, 119, 681, 584
• LCM of 476, 805, 812, 299, 755
• LCM of 180, 884, 654, 463, 688

1. What is the LCM of 378, 598, 650, 278, 908?

Answer: LCM of 378, 598, 650, 278, 908 is 178309158300.

2. How to calculate the LCM of 378, 598, 650, 278, 908?

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, 598, 650, 278, 908.

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}.