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LCM of 997, 788, 858, 225, 864

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


Find the LCM of 997, 788, 858, 225, 864 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 997, 788, 858, 225, 864. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 997,788,858,225,864

Given numbers are 997,788,858,225,864

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

The LCM of 997,788,858,225,864 is 606668119200.

Find LCM of 997,788,858,225,864 with Prime Factorization


2 997, 788, 858, 225, 864
2 997, 394, 429, 225, 432
3 997, 197, 429, 225, 216
3 997, 197, 143, 75, 72
997, 197, 143, 25, 24

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

2 x 2 x 3 x 3 x 997 x 197 x 143 x 25 x 24 = 606668119200

Therefore, the lowest common multiple of 997,788,858,225,864 is 606668119200.

LCM Formula to Find Lowest Common Multiple of 997,788,858,225,864

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.

997 x 788 x 858 x 225 x 864 = 131040313747200

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.

997 : 1, 997

788 : 1, 2, 4, 197, 394, 788

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,788,858,225,864, is 1.

Now, the common factors can be found like this.

997:997

788:2x 2x 197

858:2x 3x 11x 13

225:3x 3x 5x 5

864:2x 2x 2x 2x 2x 3x 3x 3

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 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 131040313747200/(1x216)

LCM = 131040313747200/216

LCM = 606668119200

Thus, we can understand that the LCM of 997,788,858,225,864 is 606668119200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 997, 788, 858, 225, 864

1. What is the LCM of 997, 788, 858, 225, 864?

Answer: LCM of 997, 788, 858, 225, 864 is 606668119200.

2. How to calculate the LCM of 997, 788, 858, 225, 864?

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 997, 788, 858, 225, 864.

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}.