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LCM of 349, 734, 780, 271

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


Find the LCM of 349, 734, 780, 271 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, 734, 780, 271. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 349,734,780,271

Given numbers are 349,734,780,271

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

The LCM of 349,734,780,271 is 27074184540.

Find LCM of 349,734,780,271 with Prime Factorization


2 349, 734, 780, 271
349, 367, 390, 271

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

2 x 349 x 367 x 390 x 271 = 27074184540

Therefore, the lowest common multiple of 349,734,780,271 is 27074184540.

LCM Formula to Find Lowest Common Multiple of 349,734,780,271

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 734 x 780 x 271 = 54148369080

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

734 : 1, 2, 367, 734

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,734,780,271, is 1.

Now, the common factors can be found like this.

349:349

734:2x 367

780:2x 2x 3x 5x 13

271:271

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

2 = 2

Therefore, the value for common factors is 2.

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 = 54148369080/(1x2)

LCM = 54148369080/2

LCM = 27074184540

Thus, we can understand that the LCM of 349,734,780,271 is 27074184540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 349, 734, 780, 271

1. What is the LCM of 349, 734, 780, 271?

Answer: LCM of 349, 734, 780, 271 is 27074184540.

2. How to calculate the LCM of 349, 734, 780, 271?

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, 734, 780, 271.

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}.