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LCM of 946, 651, 918, 162, 559

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


Find the LCM of 946, 651, 918, 162, 559 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 946, 651, 918, 162, 559. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,651,918,162,559

Given numbers are 946,651,918,162,559

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

The LCM of 946,651,918,162,559 is 3674753082.

Find LCM of 946,651,918,162,559 with Prime Factorization


2 946, 651, 918, 162, 559
3 473, 651, 459, 81, 559
3 473, 217, 153, 27, 559
3 473, 217, 51, 9, 559
43 473, 217, 17, 3, 559
11, 217, 17, 3, 13

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

2 x 3 x 3 x 3 x 43 x 11 x 217 x 17 x 3 x 13 = 3674753082

Therefore, the lowest common multiple of 946,651,918,162,559 is 3674753082.

LCM Formula to Find Lowest Common Multiple of 946,651,918,162,559

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.

946 x 651 x 918 x 162 x 559 = 51196659938424

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.

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

651 : 1, 3, 7, 21, 31, 93, 217, 651

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

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,651,918,162,559, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

651:3x 7x 31

918:2x 3x 3x 3x 17

162:2x 3x 3x 3x 3

559:13x 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 2x 3x 3x 3x 3x 43 = 13932

Therefore, the value for common factors is 13932.

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 = 51196659938424/(1x13932)

LCM = 51196659938424/13932

LCM = 3674753082

Thus, we can understand that the LCM of 946,651,918,162,559 is 3674753082.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 651, 918, 162, 559

1. What is the LCM of 946, 651, 918, 162, 559?

Answer: LCM of 946, 651, 918, 162, 559 is 3674753082.

2. How to calculate the LCM of 946, 651, 918, 162, 559?

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 946, 651, 918, 162, 559.

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}.