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LCM of 634, 565, 320, 452, 458

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


Find the LCM of 634, 565, 320, 452, 458 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 634, 565, 320, 452, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 634,565,320,452,458

Given numbers are 634,565,320,452,458

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

The LCM of 634,565,320,452,458 is 2624962880.

Find LCM of 634,565,320,452,458 with Prime Factorization


2 634, 565, 320, 452, 458
2 317, 565, 160, 226, 229
5 317, 565, 80, 113, 229
113 317, 113, 16, 113, 229
317, 1, 16, 1, 229

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

2 x 2 x 5 x 113 x 317 x 1 x 16 x 1 x 229 = 2624962880

Therefore, the lowest common multiple of 634,565,320,452,458 is 2624962880.

LCM Formula to Find Lowest Common Multiple of 634,565,320,452,458

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.

634 x 565 x 320 x 452 x 458 = 23729664435200

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.

634 : 1, 2, 317, 634

565 : 1, 5, 113, 565

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,565,320,452,458, is 1.

Now, the common factors can be found like this.

634:2x 317

565:5x 113

320:2x 2x 2x 2x 2x 2x 5

452:2x 2x 113

458:2x 229

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 2x 2x 5x 113 = 9040

Therefore, the value for common factors is 9040.

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 = 23729664435200/(1x9040)

LCM = 23729664435200/9040

LCM = 2624962880

Thus, we can understand that the LCM of 634,565,320,452,458 is 2624962880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 634, 565, 320, 452, 458

1. What is the LCM of 634, 565, 320, 452, 458?

Answer: LCM of 634, 565, 320, 452, 458 is 2624962880.

2. How to calculate the LCM of 634, 565, 320, 452, 458?

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 634, 565, 320, 452, 458.

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}.