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LCM of 643, 457, 206, 412, 953

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


Find the LCM of 643, 457, 206, 412, 953 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 643, 457, 206, 412, 953. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 643,457,206,412,953

Given numbers are 643,457,206,412,953

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

The LCM of 643,457,206,412,953 is 115376481236.

Find LCM of 643,457,206,412,953 with Prime Factorization


2 643, 457, 206, 412, 953
103 643, 457, 103, 206, 953
643, 457, 1, 2, 953

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

2 x 103 x 643 x 457 x 1 x 2 x 953 = 115376481236

Therefore, the lowest common multiple of 643,457,206,412,953 is 115376481236.

LCM Formula to Find Lowest Common Multiple of 643,457,206,412,953

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.

643 x 457 x 206 x 412 x 953 = 23767555134616

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.

643 : 1, 643

457 : 1, 457

206 : 1, 2, 103, 206

412 : 1, 2, 4, 103, 206, 412

953 : 1, 953

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,457,206,412,953, is 1.

Now, the common factors can be found like this.

643:643

457:457

206:2x 103

412:2x 2x 103

953:953

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

2x 103 = 206

Therefore, the value for common factors is 206.

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 = 23767555134616/(1x206)

LCM = 23767555134616/206

LCM = 115376481236

Thus, we can understand that the LCM of 643,457,206,412,953 is 115376481236.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 643, 457, 206, 412, 953

1. What is the LCM of 643, 457, 206, 412, 953?

Answer: LCM of 643, 457, 206, 412, 953 is 115376481236.

2. How to calculate the LCM of 643, 457, 206, 412, 953?

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 643, 457, 206, 412, 953.

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}.