Given numbers are 378,346,208,863,467

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

The LCM of 378,346,208,863,467 is 2740936148496.

Find LCM of 378,346,208,863,467 with Prime Factorization

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

2 x 189 x 173 x 104 x 863 x 467 = 2740936148496

Therefore, the lowest common multiple of 378,346,208,863,467 is 2740936148496.

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 346 x 208 x 863 x 467 = 10963744593984

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

346 : 1, 2, 173, 346

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

863 : 1, 863

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,346,208,863,467, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

346:2x 173

208:2x 2x 2x 2x 13

863:863

467:467

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10963744593984/(1x4)

LCM = 10963744593984/4

LCM = 2740936148496

Thus, we can understand that the LCM of 378,346,208,863,467 is 2740936148496.

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

• LCM of 581, 541, 815, 884, 146
• LCM of 753, 226, 989, 962, 900
• LCM of 155, 521, 623, 921, 799
• LCM of 811, 782, 955, 146, 801
• LCM of 341, 596, 433, 920, 851

1. What is the LCM of 378, 346, 208, 863, 467?

Answer: LCM of 378, 346, 208, 863, 467 is 2740936148496.

2. How to calculate the LCM of 378, 346, 208, 863, 467?

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, 346, 208, 863, 467.

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}.