Given numbers are 908,121,120,496,961

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

The LCM of 908,121,120,496,961 is 6334988880.

Find LCM of 908,121,120,496,961 with Prime Factorization

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

2 x 2 x 2 x 31 x 227 x 121 x 15 x 2 x 31 = 6334988880

Therefore, the lowest common multiple of 908,121,120,496,961 is 6334988880.

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.

908 x 121 x 120 x 496 x 961 = 6284308968960

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.

908 : 1, 2, 4, 227, 454, 908

121 : 1, 11, 121

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,121,120,496,961, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

121:11x 11

120:2x 2x 2x 3x 5

496:2x 2x 2x 2x 31

961:31x 31

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 31 = 992

Therefore, the value for common factors is 992.

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 = 6284308968960/(1x992)

LCM = 6284308968960/992

LCM = 6334988880

Thus, we can understand that the LCM of 908,121,120,496,961 is 6334988880.

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

• LCM of 142, 730, 700, 426, 185
• LCM of 419, 357, 823, 823, 965
• LCM of 488, 237, 970, 474, 342
• LCM of 936, 530, 606, 136, 982
• LCM of 989, 606, 109, 127, 732

1. What is the LCM of 908, 121, 120, 496, 961?

Answer: LCM of 908, 121, 120, 496, 961 is 6334988880.

2. How to calculate the LCM of 908, 121, 120, 496, 961?

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 908, 121, 120, 496, 961.

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}.