Given numbers are 208,372,121,720

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

The LCM of 208,372,121,720 is 35109360.

Find LCM of 208,372,121,720 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 31 x 121 x 15 = 35109360

Therefore, the lowest common multiple of 208,372,121,720 is 35109360.

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.

208 x 372 x 121 x 720 = 6740997120

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

121 : 1, 11, 121

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,372,121,720, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

372:2x 2x 3x 31

121:11x 11

720:2x 2x 2x 2x 3x 3x 5

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 6740997120/(1x192)

LCM = 6740997120/192

LCM = 35109360

Thus, we can understand that the LCM of 208,372,121,720 is 35109360.

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

• LCM of 596, 522, 331, 303
• LCM of 370, 951, 754, 829
• LCM of 289, 458, 170, 735
• LCM of 810, 543, 300, 861
• LCM of 805, 609, 609, 824

1. What is the LCM of 208, 372, 121, 720?

Answer: LCM of 208, 372, 121, 720 is 35109360.

2. How to calculate the LCM of 208, 372, 121, 720?

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 208, 372, 121, 720.

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}.