Given numbers are 345,338,894,828,946

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

The LCM of 345,338,894,828,946 is 49309937820.

Find LCM of 345,338,894,828,946 with Prime Factorization

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

2 x 3 x 23 x 5 x 169 x 149 x 6 x 473 = 49309937820

Therefore, the lowest common multiple of 345,338,894,828,946 is 49309937820.

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.

345 x 338 x 894 x 828 x 946 = 81657257029920

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

338 : 1, 2, 13, 26, 169, 338

894 : 1, 2, 3, 6, 149, 298, 447, 894

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,338,894,828,946, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

338:2x 13x 13

894:2x 3x 149

828:2x 2x 3x 3x 23

946:2x 11x 43

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 3x 3x 23 = 1656

Therefore, the value for common factors is 1656.

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 = 81657257029920/(1x1656)

LCM = 81657257029920/1656

LCM = 49309937820

Thus, we can understand that the LCM of 345,338,894,828,946 is 49309937820.

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

• LCM of 135, 540, 524, 594, 507
• LCM of 236, 403, 282, 676, 268
• LCM of 207, 666, 305, 286, 318
• LCM of 811, 700, 769, 240, 232
• LCM of 327, 389, 568, 756, 213

1. What is the LCM of 345, 338, 894, 828, 946?

Answer: LCM of 345, 338, 894, 828, 946 is 49309937820.

2. How to calculate the LCM of 345, 338, 894, 828, 946?

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 345, 338, 894, 828, 946.

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}.