Given numbers are 118,254,312,363

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

The LCM of 118,254,312,363 is 282875736.

Find LCM of 118,254,312,363 with Prime Factorization

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

2 x 3 x 59 x 127 x 52 x 121 = 282875736

Therefore, the lowest common multiple of 118,254,312,363 is 282875736.

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.

118 x 254 x 312 x 363 = 3394508832

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.

118 : 1, 2, 59, 118

254 : 1, 2, 127, 254

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

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,254,312,363, is 1.

Now, the common factors can be found like this.

118:2x 59

254:2x 127

312:2x 2x 2x 3x 13

363:3x 11x 11

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 3 = 12

Therefore, the value for common factors is 12.

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 = 3394508832/(1x12)

LCM = 3394508832/12

LCM = 282875736

Thus, we can understand that the LCM of 118,254,312,363 is 282875736.

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

• LCM of 907, 499, 810, 643
• LCM of 627, 146, 932, 790
• LCM of 184, 194, 268, 429
• LCM of 630, 266, 665, 433
• LCM of 548, 324, 804, 776

1. What is the LCM of 118, 254, 312, 363?

Answer: LCM of 118, 254, 312, 363 is 282875736.

2. How to calculate the LCM of 118, 254, 312, 363?

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 118, 254, 312, 363.

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}.