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LCM of 253, 768, 762, 482

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


Find the LCM of 253, 768, 762, 482 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 253, 768, 762, 482. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,768,762,482

Given numbers are 253,768,762,482

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

The LCM of 253,768,762,482 is 5947062528.

Find LCM of 253,768,762,482 with Prime Factorization


2 253, 768, 762, 482
3 253, 384, 381, 241
253, 128, 127, 241

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

2 x 3 x 253 x 128 x 127 x 241 = 5947062528

Therefore, the lowest common multiple of 253,768,762,482 is 5947062528.

LCM Formula to Find Lowest Common Multiple of 253,768,762,482

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.

253 x 768 x 762 x 482 = 71364750336

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.

253 : 1, 11, 23, 253

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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

482 : 1, 2, 241, 482

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,768,762,482, is 1.

Now, the common factors can be found like this.

253:11x 23

768:2x 2x 2x 2x 2x 2x 2x 2x 3

762:2x 3x 127

482:2x 241

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 3 = 12

Therefore, the value for common factors is 12.

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 = 71364750336/(1x12)

LCM = 71364750336/12

LCM = 5947062528

Thus, we can understand that the LCM of 253,768,762,482 is 5947062528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 768, 762, 482

1. What is the LCM of 253, 768, 762, 482?

Answer: LCM of 253, 768, 762, 482 is 5947062528.

2. How to calculate the LCM of 253, 768, 762, 482?

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 253, 768, 762, 482.

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}.