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LCM of 6, 905, 173, 724

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


Find the LCM of 6, 905, 173, 724 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 6, 905, 173, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6,905,173,724

Given numbers are 6,905,173,724

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

The LCM of 6,905,173,724 is 1878780.

Find LCM of 6,905,173,724 with Prime Factorization


2 6, 905, 173, 724
181 3, 905, 173, 362
3, 5, 173, 2

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

2 x 181 x 3 x 5 x 173 x 2 = 1878780

Therefore, the lowest common multiple of 6,905,173,724 is 1878780.

LCM Formula to Find Lowest Common Multiple of 6,905,173,724

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.

6 x 905 x 173 x 724 = 680118360

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.

6 : 1, 2, 3, 6

905 : 1, 5, 181, 905

173 : 1, 173

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,905,173,724, is 1.

Now, the common factors can be found like this.

6:2x 3

905:5x 181

173:173

724:2x 2x 181

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

2x 181 = 362

Therefore, the value for common factors is 362.

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 = 680118360/(1x362)

LCM = 680118360/362

LCM = 1878780

Thus, we can understand that the LCM of 6,905,173,724 is 1878780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 6, 905, 173, 724

1. What is the LCM of 6, 905, 173, 724?

Answer: LCM of 6, 905, 173, 724 is 1878780.

2. How to calculate the LCM of 6, 905, 173, 724?

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 6, 905, 173, 724.

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}.