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 917, 399, 988, 939, 169

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


Find the LCM of 917, 399, 988, 939, 169 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 917, 399, 988, 939, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,399,988,939,169

Given numbers are 917,399,988,939,169

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

The LCM of 917,399,988,939,169 is 11059493172.

Find LCM of 917,399,988,939,169 with Prime Factorization


3 917, 399, 988, 939, 169
7 917, 133, 988, 313, 169
13 131, 19, 988, 313, 169
19 131, 19, 76, 313, 13
131, 1, 4, 313, 13

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

3 x 7 x 13 x 19 x 131 x 1 x 4 x 313 x 13 = 11059493172

Therefore, the lowest common multiple of 917,399,988,939,169 is 11059493172.

LCM Formula to Find Lowest Common Multiple of 917,399,988,939,169

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.

917 x 399 x 988 x 939 x 169 = 57365591083164

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.

917 : 1, 7, 131, 917

399 : 1, 3, 7, 19, 21, 57, 133, 399

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

939 : 1, 3, 313, 939

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,399,988,939,169, is 1.

Now, the common factors can be found like this.

917:7x 131

399:3x 7x 19

988:2x 2x 13x 19

939:3x 313

169:13x 13

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

3x 7x 13x 19 = 5187

Therefore, the value for common factors is 5187.

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 = 57365591083164/(1x5187)

LCM = 57365591083164/5187

LCM = 11059493172

Thus, we can understand that the LCM of 917,399,988,939,169 is 11059493172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 399, 988, 939, 169

1. What is the LCM of 917, 399, 988, 939, 169?

Answer: LCM of 917, 399, 988, 939, 169 is 11059493172.

2. How to calculate the LCM of 917, 399, 988, 939, 169?

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 917, 399, 988, 939, 169.

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}.