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 476, 169, 169, 489, 325

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


Find the LCM of 476, 169, 169, 489, 325 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 476, 169, 169, 489, 325. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 476,169,169,489,325

Given numbers are 476,169,169,489,325

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

The LCM of 476,169,169,489,325 is 983427900.

Find LCM of 476,169,169,489,325 with Prime Factorization


13 476, 169, 169, 489, 325
13 476, 13, 13, 489, 25
476, 1, 1, 489, 25

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

13 x 13 x 476 x 1 x 1 x 489 x 25 = 983427900

Therefore, the lowest common multiple of 476,169,169,489,325 is 983427900.

LCM Formula to Find Lowest Common Multiple of 476,169,169,489,325

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.

476 x 169 x 169 x 489 x 325 = 2160591096300

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

169 : 1, 13, 169

169 : 1, 13, 169

489 : 1, 3, 163, 489

325 : 1, 5, 13, 25, 65, 325

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,169,169,489,325, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

169:13x 13

169:13x 13

489:3x 163

325:5x 5x 13

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

13x 13x 13 = 2197

Therefore, the value for common factors is 2197.

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 = 2160591096300/(1x2197)

LCM = 2160591096300/2197

LCM = 983427900

Thus, we can understand that the LCM of 476,169,169,489,325 is 983427900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 476, 169, 169, 489, 325

1. What is the LCM of 476, 169, 169, 489, 325?

Answer: LCM of 476, 169, 169, 489, 325 is 983427900.

2. How to calculate the LCM of 476, 169, 169, 489, 325?

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 476, 169, 169, 489, 325.

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}.