Given numbers are 234,840,470,930

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

The LCM of 234,840,470,930 is 47731320.

Find LCM of 234,840,470,930 with Prime Factorization

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

2 x 3 x 5 x 39 x 28 x 47 x 31 = 47731320

Therefore, the lowest common multiple of 234,840,470,930 is 47731320.

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.

234 x 840 x 470 x 930 = 85916376000

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

470 : 1, 2, 5, 10, 47, 94, 235, 470

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,840,470,930, is 2.

Now, the common factors can be found like this.

234:2x 3x 3x 13

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

470:2x 5x 47

930:2x 3x 5x 31

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 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 85916376000/(2x900)

LCM = 85916376000/1800

LCM = 47731320

Thus, we can understand that the LCM of 234,840,470,930 is 47731320.

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

• LCM of 752, 826, 976, 286
• LCM of 778, 463, 819, 182
• LCM of 198, 158, 125, 399
• LCM of 835, 788, 767, 283
• LCM of 779, 557, 247, 670

1. What is the LCM of 234, 840, 470, 930?

Answer: LCM of 234, 840, 470, 930 is 47731320.

2. How to calculate the LCM of 234, 840, 470, 930?

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 234, 840, 470, 930.

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}.