Given numbers are 684,690,193,438

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

The LCM of 684,690,193,438 is 1108240740.

Find LCM of 684,690,193,438 with Prime Factorization

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

2 x 3 x 114 x 115 x 193 x 73 = 1108240740

Therefore, the lowest common multiple of 684,690,193,438 is 1108240740.

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.

684 x 690 x 193 x 438 = 39896666640

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

193 : 1, 193

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,690,193,438, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

690:2x 3x 5x 23

193:193

438:2x 3x 73

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 3 = 36

Therefore, the value for common factors is 36.

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 = 39896666640/(1x36)

LCM = 39896666640/36

LCM = 1108240740

Thus, we can understand that the LCM of 684,690,193,438 is 1108240740.

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

• LCM of 116, 390, 729, 818
• LCM of 168, 735, 272, 296
• LCM of 937, 776, 665, 739
• LCM of 382, 703, 560, 680
• LCM of 100, 772, 101, 852

1. What is the LCM of 684, 690, 193, 438?

Answer: LCM of 684, 690, 193, 438 is 1108240740.

2. How to calculate the LCM of 684, 690, 193, 438?

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 684, 690, 193, 438.

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}.