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 398, 575, 697, 281, 989

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


Find the LCM of 398, 575, 697, 281, 989 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 398, 575, 697, 281, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,575,697,281,989

Given numbers are 398,575,697,281,989

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

The LCM of 398,575,697,281,989 is 1927340601350.

Find LCM of 398,575,697,281,989 with Prime Factorization


23 398, 575, 697, 281, 989
398, 25, 697, 281, 43

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

23 x 398 x 25 x 697 x 281 x 43 = 1927340601350

Therefore, the lowest common multiple of 398,575,697,281,989 is 1927340601350.

LCM Formula to Find Lowest Common Multiple of 398,575,697,281,989

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.

398 x 575 x 697 x 281 x 989 = 44328833831050

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.

398 : 1, 2, 199, 398

575 : 1, 5, 23, 25, 115, 575

697 : 1, 17, 41, 697

281 : 1, 281

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,575,697,281,989, is 1.

Now, the common factors can be found like this.

398:2x 199

575:5x 5x 23

697:17x 41

281:281

989:23x 43

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

23 = 23

Therefore, the value for common factors is 23.

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 = 44328833831050/(1x23)

LCM = 44328833831050/23

LCM = 1927340601350

Thus, we can understand that the LCM of 398,575,697,281,989 is 1927340601350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 575, 697, 281, 989

1. What is the LCM of 398, 575, 697, 281, 989?

Answer: LCM of 398, 575, 697, 281, 989 is 1927340601350.

2. How to calculate the LCM of 398, 575, 697, 281, 989?

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 398, 575, 697, 281, 989.

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}.