Given numbers are 680,414,688,326

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

The LCM of 680,414,688,326 is 1973173680.

Find LCM of 680,414,688,326 with Prime Factorization

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

2 x 2 x 2 x 85 x 207 x 86 x 163 = 1973173680

Therefore, the lowest common multiple of 680,414,688,326 is 1973173680.

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.

680 x 414 x 688 x 326 = 63141557760

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

326 : 1, 2, 163, 326

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,414,688,326, is 2.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

414:2x 3x 3x 23

688:2x 2x 2x 2x 43

326:2x 163

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 2 = 16

Therefore, the value for common factors is 16.

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 = 63141557760/(2x16)

LCM = 63141557760/32

LCM = 1973173680

Thus, we can understand that the LCM of 680,414,688,326 is 1973173680.

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

• LCM of 238, 159, 246, 434
• LCM of 839, 342, 249, 196
• LCM of 184, 473, 315, 199
• LCM of 273, 384, 353, 830
• LCM of 250, 318, 332, 501

1. What is the LCM of 680, 414, 688, 326?

Answer: LCM of 680, 414, 688, 326 is 1973173680.

2. How to calculate the LCM of 680, 414, 688, 326?

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 680, 414, 688, 326.

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}.