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 578, 551, 470, 376, 993

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


Find the LCM of 578, 551, 470, 376, 993 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 578, 551, 470, 376, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,551,470,376,993

Given numbers are 578,551,470,376,993

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

The LCM of 578,551,470,376,993 is 297273734760.

Find LCM of 578,551,470,376,993 with Prime Factorization


2 578, 551, 470, 376, 993
47 289, 551, 235, 188, 993
289, 551, 5, 4, 993

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

2 x 47 x 289 x 551 x 5 x 4 x 993 = 297273734760

Therefore, the lowest common multiple of 578,551,470,376,993 is 297273734760.

LCM Formula to Find Lowest Common Multiple of 578,551,470,376,993

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.

578 x 551 x 470 x 376 x 993 = 55887462134880

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.

578 : 1, 2, 17, 34, 289, 578

551 : 1, 19, 29, 551

470 : 1, 2, 5, 10, 47, 94, 235, 470

376 : 1, 2, 4, 8, 47, 94, 188, 376

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,551,470,376,993, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

551:19x 29

470:2x 5x 47

376:2x 2x 2x 47

993:3x 331

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 47 = 188

Therefore, the value for common factors is 188.

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 = 55887462134880/(1x188)

LCM = 55887462134880/188

LCM = 297273734760

Thus, we can understand that the LCM of 578,551,470,376,993 is 297273734760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 551, 470, 376, 993

1. What is the LCM of 578, 551, 470, 376, 993?

Answer: LCM of 578, 551, 470, 376, 993 is 297273734760.

2. How to calculate the LCM of 578, 551, 470, 376, 993?

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 578, 551, 470, 376, 993.

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}.