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LCM of 363, 306, 954, 705

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 363, 306, 954, 705 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 363, 306, 954, 705. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,306,954,705

Given numbers are 363,306,954,705

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

The LCM of 363,306,954,705 is 461158830.

Find LCM of 363,306,954,705 with Prime Factorization


2 363, 306, 954, 705
3 363, 153, 477, 705
3 121, 51, 159, 235
121, 17, 53, 235

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

2 x 3 x 3 x 121 x 17 x 53 x 235 = 461158830

Therefore, the lowest common multiple of 363,306,954,705 is 461158830.

LCM Formula to Find Lowest Common Multiple of 363,306,954,705

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.

363 x 306 x 954 x 705 = 74707730460

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.

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

705 : 1, 3, 5, 15, 47, 141, 235, 705

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,306,954,705, is 3.

Now, the common factors can be found like this.

363:3x 11x 11

306:2x 3x 3x 17

954:2x 3x 3x 53

705:3x 5x 47

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 74707730460/(3x54)

LCM = 74707730460/162

LCM = 461158830

Thus, we can understand that the LCM of 363,306,954,705 is 461158830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 306, 954, 705

1. What is the LCM of 363, 306, 954, 705?

Answer: LCM of 363, 306, 954, 705 is 461158830.

2. How to calculate the LCM of 363, 306, 954, 705?

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 363, 306, 954, 705.

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}.