Given numbers are 712,535,214,561

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

The LCM of 712,535,214,561 is 213696120.

Find LCM of 712,535,214,561 with Prime Factorization

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

2 x 107 x 356 x 5 x 1 x 561 = 213696120

Therefore, the lowest common multiple of 712,535,214,561 is 213696120.

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.

712 x 535 x 214 x 561 = 45730969680

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.

712 : 1, 2, 4, 8, 89, 178, 356, 712

535 : 1, 5, 107, 535

214 : 1, 2, 107, 214

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,535,214,561, is 1.

Now, the common factors can be found like this.

712:2x 2x 2x 89

535:5x 107

214:2x 107

561:3x 11x 17

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 45730969680/(1x214)

LCM = 45730969680/214

LCM = 213696120

Thus, we can understand that the LCM of 712,535,214,561 is 213696120.

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

• LCM of 278, 965, 807, 673
• LCM of 503, 341, 981, 285
• LCM of 447, 844, 677, 767
• LCM of 581, 399, 767, 856
• LCM of 695, 983, 760, 414

1. What is the LCM of 712, 535, 214, 561?

Answer: LCM of 712, 535, 214, 561 is 213696120.

2. How to calculate the LCM of 712, 535, 214, 561?

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 712, 535, 214, 561.

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}.