Given numbers are 350,728,270,916,119

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

The LCM of 350,728,270,916,119 is 1913020200.

Find LCM of 350,728,270,916,119 with Prime Factorization

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

2 x 2 x 5 x 7 x 5 x 26 x 27 x 229 x 17 = 1913020200

Therefore, the lowest common multiple of 350,728,270,916,119 is 1913020200.

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.

350 x 728 x 270 x 916 x 119 = 7499039184000

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

916 : 1, 2, 4, 229, 458, 916

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,728,270,916,119, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

728:2x 2x 2x 7x 13

270:2x 3x 3x 3x 5

916:2x 2x 229

119:7x 17

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 2x 5x 7x 7 = 3920

Therefore, the value for common factors is 3920.

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 = 7499039184000/(1x3920)

LCM = 7499039184000/3920

LCM = 1913020200

Thus, we can understand that the LCM of 350,728,270,916,119 is 1913020200.

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

• LCM of 860, 469, 999, 462, 836
• LCM of 587, 529, 277, 715, 396
• LCM of 642, 972, 972, 678, 917
• LCM of 255, 586, 538, 458, 710
• LCM of 308, 889, 140, 575, 951

1. What is the LCM of 350, 728, 270, 916, 119?

Answer: LCM of 350, 728, 270, 916, 119 is 1913020200.

2. How to calculate the LCM of 350, 728, 270, 916, 119?

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 350, 728, 270, 916, 119.

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}.