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, 828, 252, 923, 689

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


Find the LCM of 917, 828, 252, 923, 689 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, 828, 252, 923, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,828,252,923,689

Given numbers are 917,828,252,923,689

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

The LCM of 917,828,252,923,689 is 37143022644.

Find LCM of 917,828,252,923,689 with Prime Factorization


2 917, 828, 252, 923, 689
2 917, 414, 126, 923, 689
3 917, 207, 63, 923, 689
3 917, 69, 21, 923, 689
7 917, 23, 7, 923, 689
13 131, 23, 1, 923, 689
131, 23, 1, 71, 53

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

2 x 2 x 3 x 3 x 7 x 13 x 131 x 23 x 1 x 71 x 53 = 37143022644

Therefore, the lowest common multiple of 917,828,252,923,689 is 37143022644.

LCM Formula to Find Lowest Common Multiple of 917,828,252,923,689

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 828 x 252 x 923 x 689 = 121680542181744

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

923 : 1, 13, 71, 923

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,828,252,923,689, is 1.

Now, the common factors can be found like this.

917:7x 131

828:2x 2x 3x 3x 23

252:2x 2x 3x 3x 7

923:13x 71

689:13x 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 3x 3x 7x 13 = 3276

Therefore, the value for common factors is 3276.

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 = 121680542181744/(1x3276)

LCM = 121680542181744/3276

LCM = 37143022644

Thus, we can understand that the LCM of 917,828,252,923,689 is 37143022644.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 828, 252, 923, 689

1. What is the LCM of 917, 828, 252, 923, 689?

Answer: LCM of 917, 828, 252, 923, 689 is 37143022644.

2. How to calculate the LCM of 917, 828, 252, 923, 689?

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, 828, 252, 923, 689.

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}.