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 924, 694, 104, 417

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


Find the LCM of 924, 694, 104, 417 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 924, 694, 104, 417. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,694,104,417

Given numbers are 924,694,104,417

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

The LCM of 924,694,104,417 is 1158749592.

Find LCM of 924,694,104,417 with Prime Factorization


2 924, 694, 104, 417
2 462, 347, 52, 417
3 231, 347, 26, 417
77, 347, 26, 139

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

2 x 2 x 3 x 77 x 347 x 26 x 139 = 1158749592

Therefore, the lowest common multiple of 924,694,104,417 is 1158749592.

LCM Formula to Find Lowest Common Multiple of 924,694,104,417

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.

924 x 694 x 104 x 417 = 27809990208

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

694 : 1, 2, 347, 694

104 : 1, 2, 4, 8, 13, 26, 52, 104

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,694,104,417, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

694:2x 347

104:2x 2x 2x 13

417:3x 139

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 3 = 24

Therefore, the value for common factors is 24.

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 = 27809990208/(1x24)

LCM = 27809990208/24

LCM = 1158749592

Thus, we can understand that the LCM of 924,694,104,417 is 1158749592.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 694, 104, 417

1. What is the LCM of 924, 694, 104, 417?

Answer: LCM of 924, 694, 104, 417 is 1158749592.

2. How to calculate the LCM of 924, 694, 104, 417?

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 924, 694, 104, 417.

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}.