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LCM of 334, 121, 334, 794

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


Find the LCM of 334, 121, 334, 794 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 334, 121, 334, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 334,121,334,794

Given numbers are 334,121,334,794

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

The LCM of 334,121,334,794 is 16044358.

Find LCM of 334,121,334,794 with Prime Factorization


2 334, 121, 334, 794
167 167, 121, 167, 397
1, 121, 1, 397

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

2 x 167 x 1 x 121 x 1 x 397 = 16044358

Therefore, the lowest common multiple of 334,121,334,794 is 16044358.

LCM Formula to Find Lowest Common Multiple of 334,121,334,794

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.

334 x 121 x 334 x 794 = 10717631144

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.

334 : 1, 2, 167, 334

121 : 1, 11, 121

334 : 1, 2, 167, 334

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,121,334,794, is 1.

Now, the common factors can be found like this.

334:2x 167

121:11x 11

334:2x 167

794:2x 397

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 167 = 668

Therefore, the value for common factors is 668.

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 = 10717631144/(1x668)

LCM = 10717631144/668

LCM = 16044358

Thus, we can understand that the LCM of 334,121,334,794 is 16044358.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 334, 121, 334, 794

1. What is the LCM of 334, 121, 334, 794?

Answer: LCM of 334, 121, 334, 794 is 16044358.

2. How to calculate the LCM of 334, 121, 334, 794?

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 334, 121, 334, 794.

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}.