Given numbers are 121,936,441,918,771

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

The LCM of 121,936,441,918,771 is 72737873208.

Find LCM of 121,936,441,918,771 with Prime Factorization

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

2 x 3 x 3 x 121 x 52 x 49 x 51 x 257 = 72737873208

Therefore, the lowest common multiple of 121,936,441,918,771 is 72737873208.

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 936 x 441 x 918 x 771 = 35350606379088

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,936,441,918,771, is 1.

Now, the common factors can be found like this.

121:11x 11

936:2x 2x 2x 3x 3x 13

441:3x 3x 7x 7

918:2x 3x 3x 3x 17

771:3x 257

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

2x 3x 3x 3x 3x 3 = 486

Therefore, the value for common factors is 486.

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 = 35350606379088/(1x486)

LCM = 35350606379088/486

LCM = 72737873208

Thus, we can understand that the LCM of 121,936,441,918,771 is 72737873208.

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

• LCM of 470, 380, 148, 385, 839
• LCM of 112, 930, 130, 699, 286
• LCM of 794, 211, 583, 259, 714
• LCM of 974, 985, 733, 145, 672
• LCM of 622, 384, 299, 998, 993

1. What is the LCM of 121, 936, 441, 918, 771?

Answer: LCM of 121, 936, 441, 918, 771 is 72737873208.

2. How to calculate the LCM of 121, 936, 441, 918, 771?

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, 936, 441, 918, 771.

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}.