Given numbers are 726,289,398,921

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

The LCM of 726,289,398,921 is 12818166702.

Find LCM of 726,289,398,921 with Prime Factorization

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

2 x 3 x 121 x 289 x 199 x 307 = 12818166702

Therefore, the lowest common multiple of 726,289,398,921 is 12818166702.

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.

726 x 289 x 398 x 921 = 76909000212

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

289 : 1, 17, 289

398 : 1, 2, 199, 398

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,289,398,921, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

289:17x 17

398:2x 199

921:3x 307

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 76909000212/(1x6)

LCM = 76909000212/6

LCM = 12818166702

Thus, we can understand that the LCM of 726,289,398,921 is 12818166702.

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

• LCM of 233, 889, 671, 852
• LCM of 121, 473, 450, 352
• LCM of 762, 847, 833, 839
• LCM of 103, 487, 400, 801
• LCM of 509, 820, 788, 947

1. What is the LCM of 726, 289, 398, 921?

Answer: LCM of 726, 289, 398, 921 is 12818166702.

2. How to calculate the LCM of 726, 289, 398, 921?

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 726, 289, 398, 921.

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}.