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LCM of 413, 237, 182, 175

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


Find the LCM of 413, 237, 182, 175 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 413, 237, 182, 175. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 413,237,182,175

Given numbers are 413,237,182,175

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

The LCM of 413,237,182,175 is 63622650.

Find LCM of 413,237,182,175 with Prime Factorization


7 413, 237, 182, 175
59, 237, 26, 25

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

7 x 59 x 237 x 26 x 25 = 63622650

Therefore, the lowest common multiple of 413,237,182,175 is 63622650.

LCM Formula to Find Lowest Common Multiple of 413,237,182,175

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.

413 x 237 x 182 x 175 = 3117509850

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.

413 : 1, 7, 59, 413

237 : 1, 3, 79, 237

182 : 1, 2, 7, 13, 14, 26, 91, 182

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,237,182,175, is 1.

Now, the common factors can be found like this.

413:7x 59

237:3x 79

182:2x 7x 13

175:5x 5x 7

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 3117509850/(1x49)

LCM = 3117509850/49

LCM = 63622650

Thus, we can understand that the LCM of 413,237,182,175 is 63622650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 413, 237, 182, 175

1. What is the LCM of 413, 237, 182, 175?

Answer: LCM of 413, 237, 182, 175 is 63622650.

2. How to calculate the LCM of 413, 237, 182, 175?

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 413, 237, 182, 175.

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}.