Given numbers are 726,713,138,624

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

The LCM of 726,713,138,624 is 53834352.

Find LCM of 726,713,138,624 with Prime Factorization

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

2 x 3 x 23 x 121 x 31 x 1 x 104 = 53834352

Therefore, the lowest common multiple of 726,713,138,624 is 53834352.

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 713 x 138 x 624 = 44574843456

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

713 : 1, 23, 31, 713

138 : 1, 2, 3, 6, 23, 46, 69, 138

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,713,138,624, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

713:23x 31

138:2x 3x 23

624:2x 2x 2x 2x 3x 13

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 23 = 828

Therefore, the value for common factors is 828.

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 = 44574843456/(1x828)

LCM = 44574843456/828

LCM = 53834352

Thus, we can understand that the LCM of 726,713,138,624 is 53834352.

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

• LCM of 406, 854, 511, 958
• LCM of 790, 539, 189, 971
• LCM of 893, 482, 576, 714
• LCM of 957, 931, 905, 894
• LCM of 883, 826, 211, 394

1. What is the LCM of 726, 713, 138, 624?

Answer: LCM of 726, 713, 138, 624 is 53834352.

2. How to calculate the LCM of 726, 713, 138, 624?

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, 713, 138, 624.

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}.