Given numbers are 177,370,113,312

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

The LCM of 177,370,113,312 is 384819240.

Find LCM of 177,370,113,312 with Prime Factorization

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

2 x 3 x 59 x 185 x 113 x 52 = 384819240

Therefore, the lowest common multiple of 177,370,113,312 is 384819240.

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.

177 x 370 x 113 x 312 = 2308915440

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.

177 : 1, 3, 59, 177

370 : 1, 2, 5, 10, 37, 74, 185, 370

113 : 1, 113

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,370,113,312, is 1.

Now, the common factors can be found like this.

177:3x 59

370:2x 5x 37

113:113

312:2x 2x 2x 3x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 2308915440/(1x6)

LCM = 2308915440/6

LCM = 384819240

Thus, we can understand that the LCM of 177,370,113,312 is 384819240.

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

• LCM of 611, 565, 834, 143
• LCM of 324, 634, 404, 564
• LCM of 832, 181, 453, 830
• LCM of 849, 137, 583, 727
• LCM of 447, 287, 882, 975

1. What is the LCM of 177, 370, 113, 312?

Answer: LCM of 177, 370, 113, 312 is 384819240.

2. How to calculate the LCM of 177, 370, 113, 312?

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 177, 370, 113, 312.

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}.