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 224, 310, 626, 209, 236

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


Find the LCM of 224, 310, 626, 209, 236 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 224, 310, 626, 209, 236. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 224,310,626,209,236

Given numbers are 224,310,626,209,236

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

The LCM of 224,310,626,209,236 is 134005416160.

Find LCM of 224,310,626,209,236 with Prime Factorization


2 224, 310, 626, 209, 236
2 112, 155, 313, 209, 118
56, 155, 313, 209, 59

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

2 x 2 x 56 x 155 x 313 x 209 x 59 = 134005416160

Therefore, the lowest common multiple of 224,310,626,209,236 is 134005416160.

LCM Formula to Find Lowest Common Multiple of 224,310,626,209,236

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.

224 x 310 x 626 x 209 x 236 = 2144086658560

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

310 : 1, 2, 5, 10, 31, 62, 155, 310

626 : 1, 2, 313, 626

209 : 1, 11, 19, 209

236 : 1, 2, 4, 59, 118, 236

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,310,626,209,236, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

310:2x 5x 31

626:2x 313

209:11x 19

236:2x 2x 59

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 2 = 16

Therefore, the value for common factors is 16.

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 = 2144086658560/(1x16)

LCM = 2144086658560/16

LCM = 134005416160

Thus, we can understand that the LCM of 224,310,626,209,236 is 134005416160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 224, 310, 626, 209, 236

1. What is the LCM of 224, 310, 626, 209, 236?

Answer: LCM of 224, 310, 626, 209, 236 is 134005416160.

2. How to calculate the LCM of 224, 310, 626, 209, 236?

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 224, 310, 626, 209, 236.

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}.