Given numbers are 690,480,718,438

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

The LCM of 690,480,718,438 is 289325280.

Find LCM of 690,480,718,438 with Prime Factorization

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

2 x 3 x 5 x 23 x 16 x 359 x 73 = 289325280

Therefore, the lowest common multiple of 690,480,718,438 is 289325280.

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.

690 x 480 x 718 x 438 = 104157100800

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.

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

718 : 1, 2, 359, 718

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,480,718,438, is 2.

Now, the common factors can be found like this.

690:2x 3x 5x 23

480:2x 2x 2x 2x 2x 3x 5

718:2x 359

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 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 104157100800/(2x180)

LCM = 104157100800/360

LCM = 289325280

Thus, we can understand that the LCM of 690,480,718,438 is 289325280.

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

• LCM of 266, 165, 328, 300
• LCM of 727, 604, 620, 307
• LCM of 511, 311, 357, 573
• LCM of 428, 690, 100, 926
• LCM of 823, 152, 937, 454

1. What is the LCM of 690, 480, 718, 438?

Answer: LCM of 690, 480, 718, 438 is 289325280.

2. How to calculate the LCM of 690, 480, 718, 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 690, 480, 718, 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}.