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LCM of 744, 498, 213, 745

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


Find the LCM of 744, 498, 213, 745 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 744, 498, 213, 745. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 744,498,213,745

Given numbers are 744,498,213,745

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

The LCM of 744,498,213,745 is 3266372040.

Find LCM of 744,498,213,745 with Prime Factorization


2 744, 498, 213, 745
3 372, 249, 213, 745
124, 83, 71, 745

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

2 x 3 x 124 x 83 x 71 x 745 = 3266372040

Therefore, the lowest common multiple of 744,498,213,745 is 3266372040.

LCM Formula to Find Lowest Common Multiple of 744,498,213,745

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.

744 x 498 x 213 x 745 = 58794696720

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.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

498 : 1, 2, 3, 6, 83, 166, 249, 498

213 : 1, 3, 71, 213

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,498,213,745, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

498:2x 3x 83

213:3x 71

745:5x 149

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 58794696720/(1x18)

LCM = 58794696720/18

LCM = 3266372040

Thus, we can understand that the LCM of 744,498,213,745 is 3266372040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 744, 498, 213, 745

1. What is the LCM of 744, 498, 213, 745?

Answer: LCM of 744, 498, 213, 745 is 3266372040.

2. How to calculate the LCM of 744, 498, 213, 745?

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 744, 498, 213, 745.

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}.