Given numbers are 121,420,408,526,546

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

The LCM of 121,420,408,526,546 is 5907621720.

Find LCM of 121,420,408,526,546 with Prime Factorization

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

2 x 2 x 3 x 7 x 121 x 5 x 34 x 263 x 13 = 5907621720

Therefore, the lowest common multiple of 121,420,408,526,546 is 5907621720.

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.

121 x 420 x 408 x 526 x 546 = 5954882693760

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.

121 : 1, 11, 121

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

526 : 1, 2, 263, 526

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,420,408,526,546, is 1.

Now, the common factors can be found like this.

121:11x 11

420:2x 2x 3x 5x 7

408:2x 2x 2x 3x 17

526:2x 263

546:2x 3x 7x 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 2x 2x 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 5954882693760/(1x1008)

LCM = 5954882693760/1008

LCM = 5907621720

Thus, we can understand that the LCM of 121,420,408,526,546 is 5907621720.

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

• LCM of 660, 284, 335, 345, 377
• LCM of 691, 964, 712, 401, 314
• LCM of 602, 204, 645, 936, 665
• LCM of 126, 972, 957, 787, 672
• LCM of 580, 965, 780, 841, 948

1. What is the LCM of 121, 420, 408, 526, 546?

Answer: LCM of 121, 420, 408, 526, 546 is 5907621720.

2. How to calculate the LCM of 121, 420, 408, 526, 546?

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 121, 420, 408, 526, 546.

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}.