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LCM of 663, 846, 235, 733, 789

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


Find the LCM of 663, 846, 235, 733, 789 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 663, 846, 235, 733, 789. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 663,846,235,733,789

Given numbers are 663,846,235,733,789

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

The LCM of 663,846,235,733,789 is 180215592570.

Find LCM of 663,846,235,733,789 with Prime Factorization


3 663, 846, 235, 733, 789
47 221, 282, 235, 733, 263
221, 6, 5, 733, 263

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

3 x 47 x 221 x 6 x 5 x 733 x 263 = 180215592570

Therefore, the lowest common multiple of 663,846,235,733,789 is 180215592570.

LCM Formula to Find Lowest Common Multiple of 663,846,235,733,789

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.

663 x 846 x 235 x 733 x 789 = 76231195657110

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.

663 : 1, 3, 13, 17, 39, 51, 221, 663

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

235 : 1, 5, 47, 235

733 : 1, 733

789 : 1, 3, 263, 789

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,846,235,733,789, is 1.

Now, the common factors can be found like this.

663:3x 13x 17

846:2x 3x 3x 47

235:5x 47

733:733

789:3x 263

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 47 = 423

Therefore, the value for common factors is 423.

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 = 76231195657110/(1x423)

LCM = 76231195657110/423

LCM = 180215592570

Thus, we can understand that the LCM of 663,846,235,733,789 is 180215592570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 663, 846, 235, 733, 789

1. What is the LCM of 663, 846, 235, 733, 789?

Answer: LCM of 663, 846, 235, 733, 789 is 180215592570.

2. How to calculate the LCM of 663, 846, 235, 733, 789?

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 663, 846, 235, 733, 789.

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}.