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LCM of 454, 241, 312, 452

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


Find the LCM of 454, 241, 312, 452 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 454, 241, 312, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,241,312,452

Given numbers are 454,241,312,452

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

The LCM of 454,241,312,452 is 1928749992.

Find LCM of 454,241,312,452 with Prime Factorization


2 454, 241, 312, 452
2 227, 241, 156, 226
227, 241, 78, 113

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

2 x 2 x 227 x 241 x 78 x 113 = 1928749992

Therefore, the lowest common multiple of 454,241,312,452 is 1928749992.

LCM Formula to Find Lowest Common Multiple of 454,241,312,452

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.

454 x 241 x 312 x 452 = 15429999936

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.

454 : 1, 2, 227, 454

241 : 1, 241

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,241,312,452, is 1.

Now, the common factors can be found like this.

454:2x 227

241:241

312:2x 2x 2x 3x 13

452:2x 2x 113

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 2 = 8

Therefore, the value for common factors is 8.

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 = 15429999936/(1x8)

LCM = 15429999936/8

LCM = 1928749992

Thus, we can understand that the LCM of 454,241,312,452 is 1928749992.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 241, 312, 452

1. What is the LCM of 454, 241, 312, 452?

Answer: LCM of 454, 241, 312, 452 is 1928749992.

2. How to calculate the LCM of 454, 241, 312, 452?

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 454, 241, 312, 452.

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}.