Given numbers are 313,158,420,122,992

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

The LCM of 313,158,420,122,992 is 157109423520.

Find LCM of 313,158,420,122,992 with Prime Factorization

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

2 x 2 x 313 x 79 x 105 x 61 x 248 = 157109423520

Therefore, the lowest common multiple of 313,158,420,122,992 is 157109423520.

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.

313 x 158 x 420 x 122 x 992 = 2513750776320

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.

313 : 1, 313

158 : 1, 2, 79, 158

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

122 : 1, 2, 61, 122

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,158,420,122,992, is 1.

Now, the common factors can be found like this.

313:313

158:2x 79

420:2x 2x 3x 5x 7

122:2x 61

992:2x 2x 2x 2x 2x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 2513750776320/(1x16)

LCM = 2513750776320/16

LCM = 157109423520

Thus, we can understand that the LCM of 313,158,420,122,992 is 157109423520.

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

• LCM of 928, 204, 975, 423, 105
• LCM of 206, 866, 478, 874, 389
• LCM of 867, 139, 586, 812, 129
• LCM of 767, 742, 746, 371, 219
• LCM of 369, 750, 593, 171, 343

1. What is the LCM of 313, 158, 420, 122, 992?

Answer: LCM of 313, 158, 420, 122, 992 is 157109423520.

2. How to calculate the LCM of 313, 158, 420, 122, 992?

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 313, 158, 420, 122, 992.

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}.