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LCM of 701, 274, 173, 274, 438

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


Find the LCM of 701, 274, 173, 274, 438 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 701, 274, 173, 274, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,274,173,274,438

Given numbers are 701,274,173,274,438

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

The LCM of 701,274,173,274,438 is 7277107638.

Find LCM of 701,274,173,274,438 with Prime Factorization


2 701, 274, 173, 274, 438
137 701, 137, 173, 137, 219
701, 1, 173, 1, 219

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

2 x 137 x 701 x 1 x 173 x 1 x 219 = 7277107638

Therefore, the lowest common multiple of 701,274,173,274,438 is 7277107638.

LCM Formula to Find Lowest Common Multiple of 701,274,173,274,438

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.

701 x 274 x 173 x 274 x 438 = 3987854985624

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.

701 : 1, 701

274 : 1, 2, 137, 274

173 : 1, 173

274 : 1, 2, 137, 274

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,274,173,274,438, is 1.

Now, the common factors can be found like this.

701:701

274:2x 137

173:173

274:2x 137

438:2x 3x 73

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 137 = 548

Therefore, the value for common factors is 548.

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 = 3987854985624/(1x548)

LCM = 3987854985624/548

LCM = 7277107638

Thus, we can understand that the LCM of 701,274,173,274,438 is 7277107638.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 274, 173, 274, 438

1. What is the LCM of 701, 274, 173, 274, 438?

Answer: LCM of 701, 274, 173, 274, 438 is 7277107638.

2. How to calculate the LCM of 701, 274, 173, 274, 438?

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 701, 274, 173, 274, 438.

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}.