Given numbers are 445,682,536,126,138

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

The LCM of 445,682,536,126,138 is 117854878680.

Find LCM of 445,682,536,126,138 with Prime Factorization

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

2 x 3 x 445 x 341 x 268 x 21 x 23 = 117854878680

Therefore, the lowest common multiple of 445,682,536,126,138 is 117854878680.

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.

445 x 682 x 536 x 126 x 138 = 2828517088320

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.

445 : 1, 5, 89, 445

682 : 1, 2, 11, 22, 31, 62, 341, 682

536 : 1, 2, 4, 8, 67, 134, 268, 536

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,682,536,126,138, is 1.

Now, the common factors can be found like this.

445:5x 89

682:2x 11x 31

536:2x 2x 2x 67

126:2x 3x 3x 7

138:2x 3x 23

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 2828517088320/(1x24)

LCM = 2828517088320/24

LCM = 117854878680

Thus, we can understand that the LCM of 445,682,536,126,138 is 117854878680.

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

• LCM of 178, 601, 245, 508, 868
• LCM of 965, 649, 502, 950, 348
• LCM of 415, 640, 672, 934, 498
• LCM of 344, 703, 762, 946, 478
• LCM of 448, 228, 795, 123, 541

1. What is the LCM of 445, 682, 536, 126, 138?

Answer: LCM of 445, 682, 536, 126, 138 is 117854878680.

2. How to calculate the LCM of 445, 682, 536, 126, 138?

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 445, 682, 536, 126, 138.

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}.