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LCM of 328, 458, 254, 851

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


Find the LCM of 328, 458, 254, 851 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 328, 458, 254, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 328,458,254,851

Given numbers are 328,458,254,851

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

The LCM of 328,458,254,851 is 8117879624.

Find LCM of 328,458,254,851 with Prime Factorization


2 328, 458, 254, 851
164, 229, 127, 851

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

2 x 164 x 229 x 127 x 851 = 8117879624

Therefore, the lowest common multiple of 328,458,254,851 is 8117879624.

LCM Formula to Find Lowest Common Multiple of 328,458,254,851

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.

328 x 458 x 254 x 851 = 32471518496

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

458 : 1, 2, 229, 458

254 : 1, 2, 127, 254

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,458,254,851, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

458:2x 229

254:2x 127

851:23x 37

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 = 32471518496/(1x4)

LCM = 32471518496/4

LCM = 8117879624

Thus, we can understand that the LCM of 328,458,254,851 is 8117879624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 328, 458, 254, 851

1. What is the LCM of 328, 458, 254, 851?

Answer: LCM of 328, 458, 254, 851 is 8117879624.

2. How to calculate the LCM of 328, 458, 254, 851?

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 328, 458, 254, 851.

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}.