Given numbers are 414,644,138,679

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

The LCM of 414,644,138,679 is 562212.

Find LCM of 414,644,138,679 with Prime Factorization

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

2 x 3 x 7 x 23 x 1 x 2 x 3 x 97 = 562212

Therefore, the lowest common multiple of 414,644,138,679 is 562212.

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.

414 x 644 x 138 x 679 = 24982452432

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.

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

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,644,138,679, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

644:2x 2x 7x 23

138:2x 3x 23

679:7x 97

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 7x 23x 23 = 44436

Therefore, the value for common factors is 44436.

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 = 24982452432/(1x44436)

LCM = 24982452432/44436

LCM = 562212

Thus, we can understand that the LCM of 414,644,138,679 is 562212.

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

• LCM of 494, 279, 318, 514
• LCM of 596, 554, 750, 858
• LCM of 372, 453, 831, 139
• LCM of 888, 295, 147, 367
• LCM of 234, 719, 228, 804

1. What is the LCM of 414, 644, 138, 679?

Answer: LCM of 414, 644, 138, 679 is 562212.

2. How to calculate the LCM of 414, 644, 138, 679?

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 414, 644, 138, 679.

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}.