Given numbers are 681,746,761,896,214

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

The LCM of 681,746,761,896,214 is 18532430829696.

Find LCM of 681,746,761,896,214 with Prime Factorization

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

2 x 681 x 373 x 761 x 448 x 107 = 18532430829696

Therefore, the lowest common multiple of 681,746,761,896,214 is 18532430829696.

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.

681 x 746 x 761 x 896 x 214 = 74129723318784

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.

681 : 1, 3, 227, 681

746 : 1, 2, 373, 746

761 : 1, 761

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,746,761,896,214, is 1.

Now, the common factors can be found like this.

681:3x 227

746:2x 373

761:761

896:2x 2x 2x 2x 2x 2x 2x 7

214:2x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 74129723318784/(1x4)

LCM = 74129723318784/4

LCM = 18532430829696

Thus, we can understand that the LCM of 681,746,761,896,214 is 18532430829696.

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

• LCM of 858, 945, 669, 310, 230
• LCM of 424, 612, 501, 475, 411
• LCM of 158, 729, 815, 820, 574
• LCM of 187, 945, 681, 942, 612
• LCM of 313, 331, 479, 800, 254

1. What is the LCM of 681, 746, 761, 896, 214?

Answer: LCM of 681, 746, 761, 896, 214 is 18532430829696.

2. How to calculate the LCM of 681, 746, 761, 896, 214?

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 681, 746, 761, 896, 214.

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}.