Given numbers are 395,877,378,102,276

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

The LCM of 395,877,378,102,276 is 102398888340.

Find LCM of 395,877,378,102,276 with Prime Factorization

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

2 x 3 x 395 x 877 x 63 x 17 x 46 = 102398888340

Therefore, the lowest common multiple of 395,877,378,102,276 is 102398888340.

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.

395 x 877 x 378 x 102 x 276 = 3686359980240

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.

395 : 1, 5, 79, 395

877 : 1, 877

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,877,378,102,276, is 1.

Now, the common factors can be found like this.

395:5x 79

877:877

378:2x 3x 3x 3x 7

102:2x 3x 17

276:2x 2x 3x 23

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 3 = 36

Therefore, the value for common factors is 36.

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 = 3686359980240/(1x36)

LCM = 3686359980240/36

LCM = 102398888340

Thus, we can understand that the LCM of 395,877,378,102,276 is 102398888340.

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

• LCM of 547, 746, 847, 826, 835
• LCM of 808, 465, 584, 965, 576
• LCM of 190, 159, 908, 461, 326
• LCM of 635, 844, 863, 427, 948
• LCM of 894, 826, 381, 204, 180

1. What is the LCM of 395, 877, 378, 102, 276?

Answer: LCM of 395, 877, 378, 102, 276 is 102398888340.

2. How to calculate the LCM of 395, 877, 378, 102, 276?

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 395, 877, 378, 102, 276.

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}.