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LCM of 846, 671, 231, 994, 903

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


Find the LCM of 846, 671, 231, 994, 903 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 846, 671, 231, 994, 903. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 846,671,231,994,903

Given numbers are 846,671,231,994,903

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

The LCM of 846,671,231,994,903 is 12131590086.

Find LCM of 846,671,231,994,903 with Prime Factorization


2 846, 671, 231, 994, 903
3 423, 671, 231, 497, 903
7 141, 671, 77, 497, 301
11 141, 671, 11, 71, 43
141, 61, 1, 71, 43

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

2 x 3 x 7 x 11 x 141 x 61 x 1 x 71 x 43 = 12131590086

Therefore, the lowest common multiple of 846,671,231,994,903 is 12131590086.

LCM Formula to Find Lowest Common Multiple of 846,671,231,994,903

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.

846 x 671 x 231 x 994 x 903 = 117700687014372

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.

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

671 : 1, 11, 61, 671

231 : 1, 3, 7, 11, 21, 33, 77, 231

994 : 1, 2, 7, 14, 71, 142, 497, 994

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,671,231,994,903, is 1.

Now, the common factors can be found like this.

846:2x 3x 3x 47

671:11x 61

231:3x 7x 11

994:2x 7x 71

903:3x 7x 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 3x 7x 7x 11 = 9702

Therefore, the value for common factors is 9702.

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 = 117700687014372/(1x9702)

LCM = 117700687014372/9702

LCM = 12131590086

Thus, we can understand that the LCM of 846,671,231,994,903 is 12131590086.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 846, 671, 231, 994, 903

1. What is the LCM of 846, 671, 231, 994, 903?

Answer: LCM of 846, 671, 231, 994, 903 is 12131590086.

2. How to calculate the LCM of 846, 671, 231, 994, 903?

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 846, 671, 231, 994, 903.

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}.