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 231, 609, 932, 900, 490

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


Find the LCM of 231, 609, 932, 900, 490 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 231, 609, 932, 900, 490. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 231,609,932,900,490

Given numbers are 231,609,932,900,490

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

The LCM of 231,609,932,900,490 is 3277820700.

Find LCM of 231,609,932,900,490 with Prime Factorization


2 231, 609, 932, 900, 490
2 231, 609, 466, 450, 245
3 231, 609, 233, 225, 245
5 77, 203, 233, 75, 245
7 77, 203, 233, 15, 49
11, 29, 233, 15, 7

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

2 x 2 x 3 x 5 x 7 x 11 x 29 x 233 x 15 x 7 = 3277820700

Therefore, the lowest common multiple of 231,609,932,900,490 is 3277820700.

LCM Formula to Find Lowest Common Multiple of 231,609,932,900,490

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.

231 x 609 x 932 x 900 x 490 = 57820757148000

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

609 : 1, 3, 7, 21, 29, 87, 203, 609

932 : 1, 2, 4, 233, 466, 932

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,609,932,900,490, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

609:3x 7x 29

932:2x 2x 233

900:2x 2x 3x 3x 5x 5

490:2x 5x 7x 7

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 3x 3x 5x 7x 7 = 17640

Therefore, the value for common factors is 17640.

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 = 57820757148000/(1x17640)

LCM = 57820757148000/17640

LCM = 3277820700

Thus, we can understand that the LCM of 231,609,932,900,490 is 3277820700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 231, 609, 932, 900, 490

1. What is the LCM of 231, 609, 932, 900, 490?

Answer: LCM of 231, 609, 932, 900, 490 is 3277820700.

2. How to calculate the LCM of 231, 609, 932, 900, 490?

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 231, 609, 932, 900, 490.

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}.