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LCM of 235, 202, 482, 376

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


Find the LCM of 235, 202, 482, 376 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 235, 202, 482, 376. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 235,202,482,376

Given numbers are 235,202,482,376

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

The LCM of 235,202,482,376 is 45761080.

Find LCM of 235,202,482,376 with Prime Factorization


2 235, 202, 482, 376
47 235, 101, 241, 188
5, 101, 241, 4

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

2 x 47 x 5 x 101 x 241 x 4 = 45761080

Therefore, the lowest common multiple of 235,202,482,376 is 45761080.

LCM Formula to Find Lowest Common Multiple of 235,202,482,376

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.

235 x 202 x 482 x 376 = 8603083040

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.

235 : 1, 5, 47, 235

202 : 1, 2, 101, 202

482 : 1, 2, 241, 482

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,202,482,376, is 1.

Now, the common factors can be found like this.

235:5x 47

202:2x 101

482:2x 241

376:2x 2x 2x 47

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 47 = 188

Therefore, the value for common factors is 188.

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 = 8603083040/(1x188)

LCM = 8603083040/188

LCM = 45761080

Thus, we can understand that the LCM of 235,202,482,376 is 45761080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 235, 202, 482, 376

1. What is the LCM of 235, 202, 482, 376?

Answer: LCM of 235, 202, 482, 376 is 45761080.

2. How to calculate the LCM of 235, 202, 482, 376?

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 235, 202, 482, 376.

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}.