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 988, 808, 494, 571, 795

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


Find the LCM of 988, 808, 494, 571, 795 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 988, 808, 494, 571, 795. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,808,494,571,795

Given numbers are 988,808,494,571,795

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

The LCM of 988,808,494,571,795 is 90596527320.

Find LCM of 988,808,494,571,795 with Prime Factorization


2 988, 808, 494, 571, 795
2 494, 404, 247, 571, 795
13 247, 202, 247, 571, 795
19 19, 202, 19, 571, 795
1, 202, 1, 571, 795

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

2 x 2 x 13 x 19 x 1 x 202 x 1 x 571 x 795 = 90596527320

Therefore, the lowest common multiple of 988,808,494,571,795 is 90596527320.

LCM Formula to Find Lowest Common Multiple of 988,808,494,571,795

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.

988 x 808 x 494 x 571 x 795 = 179018737984320

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

808 : 1, 2, 4, 8, 101, 202, 404, 808

494 : 1, 2, 13, 19, 26, 38, 247, 494

571 : 1, 571

795 : 1, 3, 5, 15, 53, 159, 265, 795

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,808,494,571,795, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

808:2x 2x 2x 101

494:2x 13x 19

571:571

795:3x 5x 53

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 13x 19 = 1976

Therefore, the value for common factors is 1976.

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 = 179018737984320/(1x1976)

LCM = 179018737984320/1976

LCM = 90596527320

Thus, we can understand that the LCM of 988,808,494,571,795 is 90596527320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 808, 494, 571, 795

1. What is the LCM of 988, 808, 494, 571, 795?

Answer: LCM of 988, 808, 494, 571, 795 is 90596527320.

2. How to calculate the LCM of 988, 808, 494, 571, 795?

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 988, 808, 494, 571, 795.

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}.