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LCM of 946, 669, 638, 181, 892

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


Find the LCM of 946, 669, 638, 181, 892 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, 669, 638, 181, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,669,638,181,892

Given numbers are 946,669,638,181,892

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

The LCM of 946,669,638,181,892 is 6643911252.

Find LCM of 946,669,638,181,892 with Prime Factorization


2 946, 669, 638, 181, 892
11 473, 669, 319, 181, 446
223 43, 669, 29, 181, 446
43, 3, 29, 181, 2

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

2 x 11 x 223 x 43 x 3 x 29 x 181 x 2 = 6643911252

Therefore, the lowest common multiple of 946,669,638,181,892 is 6643911252.

LCM Formula to Find Lowest Common Multiple of 946,669,638,181,892

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 669 x 638 x 181 x 892 = 65190057204624

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

669 : 1, 3, 223, 669

638 : 1, 2, 11, 22, 29, 58, 319, 638

181 : 1, 181

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,669,638,181,892, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

669:3x 223

638:2x 11x 29

181:181

892:2x 2x 223

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 11x 223 = 9812

Therefore, the value for common factors is 9812.

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 = 65190057204624/(1x9812)

LCM = 65190057204624/9812

LCM = 6643911252

Thus, we can understand that the LCM of 946,669,638,181,892 is 6643911252.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 669, 638, 181, 892

1. What is the LCM of 946, 669, 638, 181, 892?

Answer: LCM of 946, 669, 638, 181, 892 is 6643911252.

2. How to calculate the LCM of 946, 669, 638, 181, 892?

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, 669, 638, 181, 892.

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}.