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LCM of 400, 673, 545, 951, 727

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


Find the LCM of 400, 673, 545, 951, 727 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 400, 673, 545, 951, 727. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 400,673,545,951,727

Given numbers are 400,673,545,951,727

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

The LCM of 400,673,545,951,727 is 20286937035600.

Find LCM of 400,673,545,951,727 with Prime Factorization


5 400, 673, 545, 951, 727
80, 673, 109, 951, 727

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

5 x 80 x 673 x 109 x 951 x 727 = 20286937035600

Therefore, the lowest common multiple of 400,673,545,951,727 is 20286937035600.

LCM Formula to Find Lowest Common Multiple of 400,673,545,951,727

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.

400 x 673 x 545 x 951 x 727 = 101434685178000

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

673 : 1, 673

545 : 1, 5, 109, 545

951 : 1, 3, 317, 951

727 : 1, 727

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,673,545,951,727, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

673:673

545:5x 109

951:3x 317

727:727

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

5 = 5

Therefore, the value for common factors is 5.

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 = 101434685178000/(1x5)

LCM = 101434685178000/5

LCM = 20286937035600

Thus, we can understand that the LCM of 400,673,545,951,727 is 20286937035600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 400, 673, 545, 951, 727

1. What is the LCM of 400, 673, 545, 951, 727?

Answer: LCM of 400, 673, 545, 951, 727 is 20286937035600.

2. How to calculate the LCM of 400, 673, 545, 951, 727?

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 400, 673, 545, 951, 727.

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}.