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LCM of 918, 663, 865, 522, 965

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


Find the LCM of 918, 663, 865, 522, 965 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 918, 663, 865, 522, 965. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 918,663,865,522,965

Given numbers are 918,663,865,522,965

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

The LCM of 918,663,865,522,965 is 57777327270.

Find LCM of 918,663,865,522,965 with Prime Factorization


2 918, 663, 865, 522, 965
3 459, 663, 865, 261, 965
3 153, 221, 865, 87, 965
5 51, 221, 865, 29, 965
17 51, 221, 173, 29, 193
3, 13, 173, 29, 193

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

2 x 3 x 3 x 5 x 17 x 3 x 13 x 173 x 29 x 193 = 57777327270

Therefore, the lowest common multiple of 918,663,865,522,965 is 57777327270.

LCM Formula to Find Lowest Common Multiple of 918,663,865,522,965

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.

918 x 663 x 865 x 522 x 965 = 265197932169300

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.

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

663 : 1, 3, 13, 17, 39, 51, 221, 663

865 : 1, 5, 173, 865

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,663,865,522,965, is 1.

Now, the common factors can be found like this.

918:2x 3x 3x 3x 17

663:3x 13x 17

865:5x 173

522:2x 3x 3x 29

965:5x 193

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 3x 5x 17 = 4590

Therefore, the value for common factors is 4590.

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 = 265197932169300/(1x4590)

LCM = 265197932169300/4590

LCM = 57777327270

Thus, we can understand that the LCM of 918,663,865,522,965 is 57777327270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 918, 663, 865, 522, 965

1. What is the LCM of 918, 663, 865, 522, 965?

Answer: LCM of 918, 663, 865, 522, 965 is 57777327270.

2. How to calculate the LCM of 918, 663, 865, 522, 965?

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 918, 663, 865, 522, 965.

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}.