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LCM of 351, 758, 419, 454

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


Find the LCM of 351, 758, 419, 454 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 351, 758, 419, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 351,758,419,454

Given numbers are 351,758,419,454

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

The LCM of 351,758,419,454 is 25305574554.

Find LCM of 351,758,419,454 with Prime Factorization


2 351, 758, 419, 454
351, 379, 419, 227

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

2 x 351 x 379 x 419 x 227 = 25305574554

Therefore, the lowest common multiple of 351,758,419,454 is 25305574554.

LCM Formula to Find Lowest Common Multiple of 351,758,419,454

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.

351 x 758 x 419 x 454 = 50611149108

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

758 : 1, 2, 379, 758

419 : 1, 419

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,758,419,454, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

758:2x 379

419:419

454:2x 227

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

2 = 2

Therefore, the value for common factors is 2.

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 = 50611149108/(1x2)

LCM = 50611149108/2

LCM = 25305574554

Thus, we can understand that the LCM of 351,758,419,454 is 25305574554.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 351, 758, 419, 454

1. What is the LCM of 351, 758, 419, 454?

Answer: LCM of 351, 758, 419, 454 is 25305574554.

2. How to calculate the LCM of 351, 758, 419, 454?

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 351, 758, 419, 454.

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}.