Given numbers are 954,107,132,190,338

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

The LCM of 954,107,132,190,338 is 36054970380.

Find LCM of 954,107,132,190,338 with Prime Factorization

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

2 x 3 x 159 x 107 x 22 x 95 x 169 = 36054970380

Therefore, the lowest common multiple of 954,107,132,190,338 is 36054970380.

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.

954 x 107 x 132 x 190 x 338 = 865319289120

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.

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

107 : 1, 107

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

190 : 1, 2, 5, 10, 19, 38, 95, 190

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,107,132,190,338, is 1.

Now, the common factors can be found like this.

954:2x 3x 3x 53

107:107

132:2x 2x 3x 11

190:2x 5x 19

338:2x 13x 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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 865319289120/(1x24)

LCM = 865319289120/24

LCM = 36054970380

Thus, we can understand that the LCM of 954,107,132,190,338 is 36054970380.

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

• LCM of 373, 630, 212, 790, 258
• LCM of 356, 415, 519, 320, 181
• LCM of 559, 861, 420, 486, 264
• LCM of 788, 671, 740, 415, 764
• LCM of 742, 878, 179, 819, 339

1. What is the LCM of 954, 107, 132, 190, 338?

Answer: LCM of 954, 107, 132, 190, 338 is 36054970380.

2. How to calculate the LCM of 954, 107, 132, 190, 338?

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 954, 107, 132, 190, 338.

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}.