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LCM of 724, 365, 555, 670

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


Find the LCM of 724, 365, 555, 670 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 724, 365, 555, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,365,555,670

Given numbers are 724,365,555,670

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

The LCM of 724,365,555,670 is 1965301620.

Find LCM of 724,365,555,670 with Prime Factorization


2 724, 365, 555, 670
5 362, 365, 555, 335
362, 73, 111, 67

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

2 x 5 x 362 x 73 x 111 x 67 = 1965301620

Therefore, the lowest common multiple of 724,365,555,670 is 1965301620.

LCM Formula to Find Lowest Common Multiple of 724,365,555,670

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.

724 x 365 x 555 x 670 = 98265081000

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.

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

365 : 1, 5, 73, 365

555 : 1, 3, 5, 15, 37, 111, 185, 555

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,365,555,670, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

365:5x 73

555:3x 5x 37

670:2x 5x 67

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

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 98265081000/(1x50)

LCM = 98265081000/50

LCM = 1965301620

Thus, we can understand that the LCM of 724,365,555,670 is 1965301620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 365, 555, 670

1. What is the LCM of 724, 365, 555, 670?

Answer: LCM of 724, 365, 555, 670 is 1965301620.

2. How to calculate the LCM of 724, 365, 555, 670?

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 724, 365, 555, 670.

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}.