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LCM of 956, 194, 209, 330, 605

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


Find the LCM of 956, 194, 209, 330, 605 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 956, 194, 209, 330, 605. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 956,194,209,330,605

Given numbers are 956,194,209,330,605

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

The LCM of 956,194,209,330,605 is 3197863020.

Find LCM of 956,194,209,330,605 with Prime Factorization


2 956, 194, 209, 330, 605
5 478, 97, 209, 165, 605
11 478, 97, 209, 33, 121
478, 97, 19, 3, 11

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

2 x 5 x 11 x 478 x 97 x 19 x 3 x 11 = 3197863020

Therefore, the lowest common multiple of 956,194,209,330,605 is 3197863020.

LCM Formula to Find Lowest Common Multiple of 956,194,209,330,605

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.

956 x 194 x 209 x 330 x 605 = 7738828508400

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.

956 : 1, 2, 4, 239, 478, 956

194 : 1, 2, 97, 194

209 : 1, 11, 19, 209

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

605 : 1, 5, 11, 55, 121, 605

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,194,209,330,605, is 1.

Now, the common factors can be found like this.

956:2x 2x 239

194:2x 97

209:11x 19

330:2x 3x 5x 11

605:5x 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 5x 11x 11 = 2420

Therefore, the value for common factors is 2420.

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 = 7738828508400/(1x2420)

LCM = 7738828508400/2420

LCM = 3197863020

Thus, we can understand that the LCM of 956,194,209,330,605 is 3197863020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 956, 194, 209, 330, 605

1. What is the LCM of 956, 194, 209, 330, 605?

Answer: LCM of 956, 194, 209, 330, 605 is 3197863020.

2. How to calculate the LCM of 956, 194, 209, 330, 605?

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 956, 194, 209, 330, 605.

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}.