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 741, 482, 514, 224

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


Find the LCM of 741, 482, 514, 224 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 741, 482, 514, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,482,514,224

Given numbers are 741,482,514,224

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

The LCM of 741,482,514,224 is 10280551008.

Find LCM of 741,482,514,224 with Prime Factorization


2 741, 482, 514, 224
741, 241, 257, 112

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

2 x 741 x 241 x 257 x 112 = 10280551008

Therefore, the lowest common multiple of 741,482,514,224 is 10280551008.

LCM Formula to Find Lowest Common Multiple of 741,482,514,224

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.

741 x 482 x 514 x 224 = 41122204032

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

482 : 1, 2, 241, 482

514 : 1, 2, 257, 514

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,482,514,224, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

482:2x 241

514:2x 257

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

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 41122204032/(1x4)

LCM = 41122204032/4

LCM = 10280551008

Thus, we can understand that the LCM of 741,482,514,224 is 10280551008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 482, 514, 224

1. What is the LCM of 741, 482, 514, 224?

Answer: LCM of 741, 482, 514, 224 is 10280551008.

2. How to calculate the LCM of 741, 482, 514, 224?

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 741, 482, 514, 224.

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}.