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LCM of 274, 294, 622, 622

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


Find the LCM of 274, 294, 622, 622 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, 294, 622, 622. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,294,622,622

Given numbers are 274,294,622,622

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

The LCM of 274,294,622,622 is 12526458.

Find LCM of 274,294,622,622 with Prime Factorization


2 274, 294, 622, 622
311 137, 147, 311, 311
137, 147, 1, 1

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

2 x 311 x 137 x 147 x 1 x 1 = 12526458

Therefore, the lowest common multiple of 274,294,622,622 is 12526458.

LCM Formula to Find Lowest Common Multiple of 274,294,622,622

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 294 x 622 x 622 = 31165827504

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

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

622 : 1, 2, 311, 622

622 : 1, 2, 311, 622

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,294,622,622, is 2.

Now, the common factors can be found like this.

274:2x 137

294:2x 3x 7x 7

622:2x 311

622:2x 311

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

2x 2x 311 = 1244

Therefore, the value for common factors is 1244.

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 = 31165827504/(2x1244)

LCM = 31165827504/2488

LCM = 12526458

Thus, we can understand that the LCM of 274,294,622,622 is 12526458.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 294, 622, 622

1. What is the LCM of 274, 294, 622, 622?

Answer: LCM of 274, 294, 622, 622 is 12526458.

2. How to calculate the LCM of 274, 294, 622, 622?

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, 294, 622, 622.

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}.