Given numbers are 380,910,840,235

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

The LCM of 380,910,840,235 is 9751560.

Find LCM of 380,910,840,235 with Prime Factorization

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

2 x 2 x 5 x 7 x 19 x 13 x 6 x 47 = 9751560

Therefore, the lowest common multiple of 380,910,840,235 is 9751560.

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.

380 x 910 x 840 x 235 = 68260920000

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

235 : 1, 5, 47, 235

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,910,840,235, is 5.

Now, the common factors can be found like this.

380:2x 2x 5x 19

910:2x 5x 7x 13

840:2x 2x 2x 3x 5x 7

235:5x 47

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 5x 5x 7 = 1400

Therefore, the value for common factors is 1400.

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 = 68260920000/(5x1400)

LCM = 68260920000/7000

LCM = 9751560

Thus, we can understand that the LCM of 380,910,840,235 is 9751560.

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

• LCM of 227, 791, 633, 729
• LCM of 684, 744, 970, 843
• LCM of 643, 215, 603, 915
• LCM of 409, 512, 128, 280
• LCM of 372, 735, 116, 914

1. What is the LCM of 380, 910, 840, 235?

Answer: LCM of 380, 910, 840, 235 is 9751560.

2. How to calculate the LCM of 380, 910, 840, 235?

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 380, 910, 840, 235.

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}.