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 624, 450, 117, 917, 353

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


Find the LCM of 624, 450, 117, 917, 353 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 624, 450, 117, 917, 353. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 624,450,117,917,353

Given numbers are 624,450,117,917,353

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

The LCM of 624,450,117,917,353 is 15149206800.

Find LCM of 624,450,117,917,353 with Prime Factorization


2 624, 450, 117, 917, 353
3 312, 225, 117, 917, 353
3 104, 75, 39, 917, 353
13 104, 25, 13, 917, 353
8, 25, 1, 917, 353

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

2 x 3 x 3 x 13 x 8 x 25 x 1 x 917 x 353 = 15149206800

Therefore, the lowest common multiple of 624,450,117,917,353 is 15149206800.

LCM Formula to Find Lowest Common Multiple of 624,450,117,917,353

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.

624 x 450 x 117 x 917 x 353 = 10634743173600

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

117 : 1, 3, 9, 13, 39, 117

917 : 1, 7, 131, 917

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,450,117,917,353, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

450:2x 3x 3x 5x 5

117:3x 3x 13

917:7x 131

353:353

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

2x 3x 3x 3x 13 = 702

Therefore, the value for common factors is 702.

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 = 10634743173600/(1x702)

LCM = 10634743173600/702

LCM = 15149206800

Thus, we can understand that the LCM of 624,450,117,917,353 is 15149206800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 624, 450, 117, 917, 353

1. What is the LCM of 624, 450, 117, 917, 353?

Answer: LCM of 624, 450, 117, 917, 353 is 15149206800.

2. How to calculate the LCM of 624, 450, 117, 917, 353?

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 624, 450, 117, 917, 353.

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}.