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LCM of 458, 762, 508, 239

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


Find the LCM of 458, 762, 508, 239 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 458, 762, 508, 239. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 458,762,508,239

Given numbers are 458,762,508,239

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

The LCM of 458,762,508,239 is 83410044.

Find LCM of 458,762,508,239 with Prime Factorization


2 458, 762, 508, 239
127 229, 381, 254, 239
229, 3, 2, 239

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

2 x 127 x 229 x 3 x 2 x 239 = 83410044

Therefore, the lowest common multiple of 458,762,508,239 is 83410044.

LCM Formula to Find Lowest Common Multiple of 458,762,508,239

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.

458 x 762 x 508 x 239 = 42372302352

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.

458 : 1, 2, 229, 458

762 : 1, 2, 3, 6, 127, 254, 381, 762

508 : 1, 2, 4, 127, 254, 508

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,762,508,239, is 1.

Now, the common factors can be found like this.

458:2x 229

762:2x 3x 127

508:2x 2x 127

239:239

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 127 = 508

Therefore, the value for common factors is 508.

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 = 42372302352/(1x508)

LCM = 42372302352/508

LCM = 83410044

Thus, we can understand that the LCM of 458,762,508,239 is 83410044.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 458, 762, 508, 239

1. What is the LCM of 458, 762, 508, 239?

Answer: LCM of 458, 762, 508, 239 is 83410044.

2. How to calculate the LCM of 458, 762, 508, 239?

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 458, 762, 508, 239.

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}.