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LCM of 880, 418, 473, 546, 899

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


Find the LCM of 880, 418, 473, 546, 899 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 880, 418, 473, 546, 899. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,418,473,546,899

Given numbers are 880,418,473,546,899

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

The LCM of 880,418,473,546,899 is 176452195920.

Find LCM of 880,418,473,546,899 with Prime Factorization


2 880, 418, 473, 546, 899
11 440, 209, 473, 273, 899
40, 19, 43, 273, 899

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

2 x 11 x 40 x 19 x 43 x 273 x 899 = 176452195920

Therefore, the lowest common multiple of 880,418,473,546,899 is 176452195920.

LCM Formula to Find Lowest Common Multiple of 880,418,473,546,899

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.

880 x 418 x 473 x 546 x 899 = 85402862825280

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.

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

418 : 1, 2, 11, 19, 22, 38, 209, 418

473 : 1, 11, 43, 473

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

899 : 1, 29, 31, 899

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,418,473,546,899, is 1.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

418:2x 11x 19

473:11x 43

546:2x 3x 7x 13

899:29x 31

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 11 = 484

Therefore, the value for common factors is 484.

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 = 85402862825280/(1x484)

LCM = 85402862825280/484

LCM = 176452195920

Thus, we can understand that the LCM of 880,418,473,546,899 is 176452195920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 418, 473, 546, 899

1. What is the LCM of 880, 418, 473, 546, 899?

Answer: LCM of 880, 418, 473, 546, 899 is 176452195920.

2. How to calculate the LCM of 880, 418, 473, 546, 899?

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 880, 418, 473, 546, 899.

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}.