Given numbers are 157,351,312,939,295

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

The LCM of 157,351,312,939,295 is 40706438760.

Find LCM of 157,351,312,939,295 with Prime Factorization

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

3 x 13 x 157 x 9 x 8 x 313 x 295 = 40706438760

Therefore, the lowest common multiple of 157,351,312,939,295 is 40706438760.

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.

157 x 351 x 312 x 939 x 295 = 4762653334920

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.

157 : 1, 157

351 : 1, 3, 9, 13, 27, 39, 117, 351

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

939 : 1, 3, 313, 939

295 : 1, 5, 59, 295

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,351,312,939,295, is 1.

Now, the common factors can be found like this.

157:157

351:3x 3x 3x 13

312:2x 2x 2x 3x 13

939:3x 313

295:5x 59

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

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 4762653334920/(1x117)

LCM = 4762653334920/117

LCM = 40706438760

Thus, we can understand that the LCM of 157,351,312,939,295 is 40706438760.

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

• LCM of 138, 468, 444, 159, 389
• LCM of 376, 802, 841, 873, 652
• LCM of 101, 188, 153, 376, 829
• LCM of 342, 107, 961, 412, 928
• LCM of 956, 792, 989, 416, 990

1. What is the LCM of 157, 351, 312, 939, 295?

Answer: LCM of 157, 351, 312, 939, 295 is 40706438760.

2. How to calculate the LCM of 157, 351, 312, 939, 295?

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 157, 351, 312, 939, 295.

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}.