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LCM of 393, 92, 253

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


Find the LCM of 393, 92, 253 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 393, 92, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 393,92,253

Given numbers are 393,92,253

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

The LCM of 393,92,253 is 397716.

Find LCM of 393,92,253 with Prime Factorization


23 393, 92, 253
393, 4, 11

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

23 x 393 x 4 x 11 = 397716

Therefore, the lowest common multiple of 393,92,253 is 397716.

LCM Formula to Find Lowest Common Multiple of 393,92,253

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.

393 x 92 x 253 = 9147468

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.

393 : 1, 3, 131, 393

92 : 1, 2, 4, 23, 46, 92

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,92,253, is 1.

Now, the common factors can be found like this.

393:3x 131

92:2x 2x 23

253:11x 23

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

23 = 23

Therefore, the value for common factors is 23.

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 = 9147468/(1x23)

LCM = 9147468/23

LCM = 397716

Thus, we can understand that the LCM of 393,92,253 is 397716.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 393, 92, 253

1. What is the LCM of 393, 92, 253?

Answer: LCM of 393, 92, 253 is 397716.

2. How to calculate the LCM of 393, 92, 253?

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 393, 92, 253.

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}.