Given numbers are 298,408,228,780

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

The LCM of 298,408,228,780 is 75078120.

Find LCM of 298,408,228,780 with Prime Factorization

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

2 x 2 x 3 x 149 x 34 x 19 x 65 = 75078120

Therefore, the lowest common multiple of 298,408,228,780 is 75078120.

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.

298 x 408 x 228 x 780 = 21622498560

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.

298 : 1, 2, 149, 298

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,408,228,780, is 2.

Now, the common factors can be found like this.

298:2x 149

408:2x 2x 2x 3x 17

228:2x 2x 3x 19

780:2x 2x 3x 5x 13

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 21622498560/(2x144)

LCM = 21622498560/288

LCM = 75078120

Thus, we can understand that the LCM of 298,408,228,780 is 75078120.

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

• LCM of 643, 780, 121, 668
• LCM of 791, 659, 887, 653
• LCM of 962, 922, 415, 606
• LCM of 932, 637, 892, 271
• LCM of 677, 518, 801, 346

1. What is the LCM of 298, 408, 228, 780?

Answer: LCM of 298, 408, 228, 780 is 75078120.

2. How to calculate the LCM of 298, 408, 228, 780?

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 298, 408, 228, 780.

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}.