LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 475, 410, 732, 232, 211

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


Find the LCM of 475, 410, 732, 232, 211 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 475, 410, 732, 232, 211. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 475,410,732,232,211

Given numbers are 475,410,732,232,211

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

The LCM of 475,410,732,232,211 is 174461256600.

Find LCM of 475,410,732,232,211 with Prime Factorization


2 475, 410, 732, 232, 211
2 475, 205, 366, 116, 211
5 475, 205, 183, 58, 211
95, 41, 183, 58, 211

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

2 x 2 x 5 x 95 x 41 x 183 x 58 x 211 = 174461256600

Therefore, the lowest common multiple of 475,410,732,232,211 is 174461256600.

LCM Formula to Find Lowest Common Multiple of 475,410,732,232,211

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.

475 x 410 x 732 x 232 x 211 = 6978450264000

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.

475 : 1, 5, 19, 25, 95, 475

410 : 1, 2, 5, 10, 41, 82, 205, 410

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

232 : 1, 2, 4, 8, 29, 58, 116, 232

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,410,732,232,211, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

410:2x 5x 41

732:2x 2x 3x 61

232:2x 2x 2x 29

211:211

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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 6978450264000/(1x40)

LCM = 6978450264000/40

LCM = 174461256600

Thus, we can understand that the LCM of 475,410,732,232,211 is 174461256600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 475, 410, 732, 232, 211

1. What is the LCM of 475, 410, 732, 232, 211?

Answer: LCM of 475, 410, 732, 232, 211 is 174461256600.

2. How to calculate the LCM of 475, 410, 732, 232, 211?

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 475, 410, 732, 232, 211.

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}.