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LCM of 817, 936, 969, 946

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


Find the LCM of 817, 936, 969, 946 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 817, 936, 969, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 817,936,969,946

Given numbers are 817,936,969,946

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

The LCM of 817,936,969,946 is 143001144.

Find LCM of 817,936,969,946 with Prime Factorization


2 817, 936, 969, 946
3 817, 468, 969, 473
19 817, 156, 323, 473
43 43, 156, 17, 473
1, 156, 17, 11

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

2 x 3 x 19 x 43 x 1 x 156 x 17 x 11 = 143001144

Therefore, the lowest common multiple of 817,936,969,946 is 143001144.

LCM Formula to Find Lowest Common Multiple of 817,936,969,946

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.

817 x 936 x 969 x 946 = 700991607888

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.

817 : 1, 19, 43, 817

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

969 : 1, 3, 17, 19, 51, 57, 323, 969

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,936,969,946, is 1.

Now, the common factors can be found like this.

817:19x 43

936:2x 2x 2x 3x 3x 13

969:3x 17x 19

946:2x 11x 43

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 19x 43 = 4902

Therefore, the value for common factors is 4902.

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 = 700991607888/(1x4902)

LCM = 700991607888/4902

LCM = 143001144

Thus, we can understand that the LCM of 817,936,969,946 is 143001144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 817, 936, 969, 946

1. What is the LCM of 817, 936, 969, 946?

Answer: LCM of 817, 936, 969, 946 is 143001144.

2. How to calculate the LCM of 817, 936, 969, 946?

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 817, 936, 969, 946.

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}.