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LCM of 274, 247, 362, 793, 689

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


Find the LCM of 274, 247, 362, 793, 689 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 274, 247, 362, 793, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,247,362,793,689

Given numbers are 274,247,362,793,689

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

The LCM of 274,247,362,793,689 is 39603338294.

Find LCM of 274,247,362,793,689 with Prime Factorization


2 274, 247, 362, 793, 689
13 137, 247, 181, 793, 689
137, 19, 181, 61, 53

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

2 x 13 x 137 x 19 x 181 x 61 x 53 = 39603338294

Therefore, the lowest common multiple of 274,247,362,793,689 is 39603338294.

LCM Formula to Find Lowest Common Multiple of 274,247,362,793,689

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.

274 x 247 x 362 x 793 x 689 = 13385928343372

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.

274 : 1, 2, 137, 274

247 : 1, 13, 19, 247

362 : 1, 2, 181, 362

793 : 1, 13, 61, 793

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,247,362,793,689, is 1.

Now, the common factors can be found like this.

274:2x 137

247:13x 19

362:2x 181

793:13x 61

689:13x 53

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 13385928343372/(1x338)

LCM = 13385928343372/338

LCM = 39603338294

Thus, we can understand that the LCM of 274,247,362,793,689 is 39603338294.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 247, 362, 793, 689

1. What is the LCM of 274, 247, 362, 793, 689?

Answer: LCM of 274, 247, 362, 793, 689 is 39603338294.

2. How to calculate the LCM of 274, 247, 362, 793, 689?

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 274, 247, 362, 793, 689.

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}.