Given numbers are 228,737,219,306

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

The LCM of 228,737,219,306 is 625598028.

Find LCM of 228,737,219,306 with Prime Factorization

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

2 x 3 x 38 x 737 x 73 x 51 = 625598028

Therefore, the lowest common multiple of 228,737,219,306 is 625598028.

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.

228 x 737 x 219 x 306 = 11260764504

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.

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

737 : 1, 11, 67, 737

219 : 1, 3, 73, 219

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,737,219,306, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

737:11x 67

219:3x 73

306:2x 3x 3x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 11260764504/(1x18)

LCM = 11260764504/18

LCM = 625598028

Thus, we can understand that the LCM of 228,737,219,306 is 625598028.

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

• LCM of 357, 886, 635, 743
• LCM of 726, 997, 833, 917
• LCM of 524, 243, 926, 645
• LCM of 893, 154, 200, 405
• LCM of 294, 688, 414, 597

1. What is the LCM of 228, 737, 219, 306?

Answer: LCM of 228, 737, 219, 306 is 625598028.

2. How to calculate the LCM of 228, 737, 219, 306?

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 228, 737, 219, 306.

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}.