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 229, 458, 748, 219

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


Find the LCM of 229, 458, 748, 219 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 229, 458, 748, 219. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 229,458,748,219

Given numbers are 229,458,748,219

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

The LCM of 229,458,748,219 is 37512948.

Find LCM of 229,458,748,219 with Prime Factorization


2 229, 458, 748, 219
229 229, 229, 374, 219
1, 1, 374, 219

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

2 x 229 x 1 x 1 x 374 x 219 = 37512948

Therefore, the lowest common multiple of 229,458,748,219 is 37512948.

LCM Formula to Find Lowest Common Multiple of 229,458,748,219

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.

229 x 458 x 748 x 219 = 17180930184

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.

229 : 1, 229

458 : 1, 2, 229, 458

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,458,748,219, is 1.

Now, the common factors can be found like this.

229:229

458:2x 229

748:2x 2x 11x 17

219:3x 73

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

2x 229 = 458

Therefore, the value for common factors is 458.

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 = 17180930184/(1x458)

LCM = 17180930184/458

LCM = 37512948

Thus, we can understand that the LCM of 229,458,748,219 is 37512948.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 229, 458, 748, 219

1. What is the LCM of 229, 458, 748, 219?

Answer: LCM of 229, 458, 748, 219 is 37512948.

2. How to calculate the LCM of 229, 458, 748, 219?

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 229, 458, 748, 219.

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}.