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LCM of 349, 782, 273, 813, 738

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


Find the LCM of 349, 782, 273, 813, 738 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 349, 782, 273, 813, 738. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 349,782,273,813,738

Given numbers are 349,782,273,813,738

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

The LCM of 349,782,273,813,738 is 2483528964462.

Find LCM of 349,782,273,813,738 with Prime Factorization


2 349, 782, 273, 813, 738
3 349, 391, 273, 813, 369
349, 391, 91, 271, 123

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

2 x 3 x 349 x 391 x 91 x 271 x 123 = 2483528964462

Therefore, the lowest common multiple of 349,782,273,813,738 is 2483528964462.

LCM Formula to Find Lowest Common Multiple of 349,782,273,813,738

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.

349 x 782 x 273 x 813 x 738 = 44703521360316

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.

349 : 1, 349

782 : 1, 2, 17, 23, 34, 46, 391, 782

273 : 1, 3, 7, 13, 21, 39, 91, 273

813 : 1, 3, 271, 813

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,782,273,813,738, is 1.

Now, the common factors can be found like this.

349:349

782:2x 17x 23

273:3x 7x 13

813:3x 271

738:2x 3x 3x 41

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 = 44703521360316/(1x18)

LCM = 44703521360316/18

LCM = 2483528964462

Thus, we can understand that the LCM of 349,782,273,813,738 is 2483528964462.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 349, 782, 273, 813, 738

1. What is the LCM of 349, 782, 273, 813, 738?

Answer: LCM of 349, 782, 273, 813, 738 is 2483528964462.

2. How to calculate the LCM of 349, 782, 273, 813, 738?

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 349, 782, 273, 813, 738.

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}.