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 489, 551, 551, 350, 116

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


Find the LCM of 489, 551, 551, 350, 116 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 489, 551, 551, 350, 116. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,551,551,350,116

Given numbers are 489,551,551,350,116

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

The LCM of 489,551,551,350,116 is 188607300.

Find LCM of 489,551,551,350,116 with Prime Factorization


2 489, 551, 551, 350, 116
19 489, 551, 551, 175, 58
29 489, 29, 29, 175, 58
489, 1, 1, 175, 2

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

2 x 19 x 29 x 489 x 1 x 1 x 175 x 2 = 188607300

Therefore, the lowest common multiple of 489,551,551,350,116 is 188607300.

LCM Formula to Find Lowest Common Multiple of 489,551,551,350,116

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.

489 x 551 x 551 x 350 x 116 = 6027512093400

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.

489 : 1, 3, 163, 489

551 : 1, 19, 29, 551

551 : 1, 19, 29, 551

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,551,551,350,116, is 1.

Now, the common factors can be found like this.

489:3x 163

551:19x 29

551:19x 29

350:2x 5x 5x 7

116:2x 2x 29

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

2x 19x 29x 29 = 31958

Therefore, the value for common factors is 31958.

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 = 6027512093400/(1x31958)

LCM = 6027512093400/31958

LCM = 188607300

Thus, we can understand that the LCM of 489,551,551,350,116 is 188607300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 551, 551, 350, 116

1. What is the LCM of 489, 551, 551, 350, 116?

Answer: LCM of 489, 551, 551, 350, 116 is 188607300.

2. How to calculate the LCM of 489, 551, 551, 350, 116?

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 489, 551, 551, 350, 116.

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}.