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LCM of 262, 393, 452, 191

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


Find the LCM of 262, 393, 452, 191 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 262, 393, 452, 191. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 262,393,452,191

Given numbers are 262,393,452,191

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

The LCM of 262,393,452,191 is 33928476.

Find LCM of 262,393,452,191 with Prime Factorization


2 262, 393, 452, 191
131 131, 393, 226, 191
1, 3, 226, 191

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

2 x 131 x 1 x 3 x 226 x 191 = 33928476

Therefore, the lowest common multiple of 262,393,452,191 is 33928476.

LCM Formula to Find Lowest Common Multiple of 262,393,452,191

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.

262 x 393 x 452 x 191 = 8889260712

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.

262 : 1, 2, 131, 262

393 : 1, 3, 131, 393

452 : 1, 2, 4, 113, 226, 452

191 : 1, 191

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,393,452,191, is 1.

Now, the common factors can be found like this.

262:2x 131

393:3x 131

452:2x 2x 113

191:191

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

2x 131 = 262

Therefore, the value for common factors is 262.

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 = 8889260712/(1x262)

LCM = 8889260712/262

LCM = 33928476

Thus, we can understand that the LCM of 262,393,452,191 is 33928476.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 262, 393, 452, 191

1. What is the LCM of 262, 393, 452, 191?

Answer: LCM of 262, 393, 452, 191 is 33928476.

2. How to calculate the LCM of 262, 393, 452, 191?

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 262, 393, 452, 191.

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}.