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LCM of 469, 741, 454, 299, 461

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


Find the LCM of 469, 741, 454, 299, 461 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 469, 741, 454, 299, 461. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,741,454,299,461

Given numbers are 469,741,454,299,461

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

The LCM of 469,741,454,299,461 is 1672921894098.

Find LCM of 469,741,454,299,461 with Prime Factorization


13 469, 741, 454, 299, 461
469, 57, 454, 23, 461

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

13 x 469 x 57 x 454 x 23 x 461 = 1672921894098

Therefore, the lowest common multiple of 469,741,454,299,461 is 1672921894098.

LCM Formula to Find Lowest Common Multiple of 469,741,454,299,461

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.

469 x 741 x 454 x 299 x 461 = 21747984623274

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.

469 : 1, 7, 67, 469

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

454 : 1, 2, 227, 454

299 : 1, 13, 23, 299

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,741,454,299,461, is 1.

Now, the common factors can be found like this.

469:7x 67

741:3x 13x 19

454:2x 227

299:13x 23

461:461

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

13 = 13

Therefore, the value for common factors is 13.

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 = 21747984623274/(1x13)

LCM = 21747984623274/13

LCM = 1672921894098

Thus, we can understand that the LCM of 469,741,454,299,461 is 1672921894098.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 741, 454, 299, 461

1. What is the LCM of 469, 741, 454, 299, 461?

Answer: LCM of 469, 741, 454, 299, 461 is 1672921894098.

2. How to calculate the LCM of 469, 741, 454, 299, 461?

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 469, 741, 454, 299, 461.

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}.