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LCM of 43, 30, 645

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


Find the LCM of 43, 30, 645 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 43, 30, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 43,30,645

Given numbers are 43,30,645

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

The LCM of 43,30,645 is 1290.

Find LCM of 43,30,645 with Prime Factorization


3 43, 30, 645
5 43, 10, 215
43 43, 2, 43
1, 2, 1

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

3 x 5 x 43 x 1 x 2 x 1 = 1290

Therefore, the lowest common multiple of 43,30,645 is 1290.

LCM Formula to Find Lowest Common Multiple of 43,30,645

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.

43 x 30 x 645 = 832050

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.

43 : 1, 43

30 : 1, 2, 3, 5, 6, 10, 15, 30

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 43,30,645, is 1.

Now, the common factors can be found like this.

43:43

30:2x 3x 5

645:3x 5x 43

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

3x 5x 43 = 645

Therefore, the value for common factors is 645.

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 = 832050/(1x645)

LCM = 832050/645

LCM = 1290

Thus, we can understand that the LCM of 43,30,645 is 1290.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 43, 30, 645

1. What is the LCM of 43, 30, 645?

Answer: LCM of 43, 30, 645 is 1290.

2. How to calculate the LCM of 43, 30, 645?

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 43, 30, 645.

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}.