Given numbers are 378,616,455,417,626

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

The LCM of 378,616,455,417,626 is 47034547560.

Find LCM of 378,616,455,417,626 with Prime Factorization

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

2 x 3 x 7 x 9 x 44 x 65 x 139 x 313 = 47034547560

Therefore, the lowest common multiple of 378,616,455,417,626 is 47034547560.

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 616 x 455 x 417 x 626 = 27656313965280

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

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

455 : 1, 5, 7, 13, 35, 65, 91, 455

417 : 1, 3, 139, 417

626 : 1, 2, 313, 626

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,616,455,417,626, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

616:2x 2x 2x 7x 11

455:5x 7x 13

417:3x 139

626:2x 313

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 3x 7x 7 = 588

Therefore, the value for common factors is 588.

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 = 27656313965280/(1x588)

LCM = 27656313965280/588

LCM = 47034547560

Thus, we can understand that the LCM of 378,616,455,417,626 is 47034547560.

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

• LCM of 569, 721, 476, 224, 642
• LCM of 179, 978, 263, 167, 955
• LCM of 171, 856, 786, 309, 959
• LCM of 288, 573, 764, 671, 241
• LCM of 169, 653, 838, 894, 783

1. What is the LCM of 378, 616, 455, 417, 626?

Answer: LCM of 378, 616, 455, 417, 626 is 47034547560.

2. How to calculate the LCM of 378, 616, 455, 417, 626?

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, 616, 455, 417, 626.

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}.