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LCM of 507, 425, 487, 238, 254

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


Find the LCM of 507, 425, 487, 238, 254 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 507, 425, 487, 238, 254. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 507,425,487,238,254

Given numbers are 507,425,487,238,254

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

The LCM of 507,425,487,238,254 is 186576785850.

Find LCM of 507,425,487,238,254 with Prime Factorization


2 507, 425, 487, 238, 254
17 507, 425, 487, 119, 127
507, 25, 487, 7, 127

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

2 x 17 x 507 x 25 x 487 x 7 x 127 = 186576785850

Therefore, the lowest common multiple of 507,425,487,238,254 is 186576785850.

LCM Formula to Find Lowest Common Multiple of 507,425,487,238,254

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.

507 x 425 x 487 x 238 x 254 = 6343610718900

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.

507 : 1, 3, 13, 39, 169, 507

425 : 1, 5, 17, 25, 85, 425

487 : 1, 487

238 : 1, 2, 7, 14, 17, 34, 119, 238

254 : 1, 2, 127, 254

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,425,487,238,254, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

425:5x 5x 17

487:487

238:2x 7x 17

254:2x 127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 6343610718900/(1x34)

LCM = 6343610718900/34

LCM = 186576785850

Thus, we can understand that the LCM of 507,425,487,238,254 is 186576785850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 507, 425, 487, 238, 254

1. What is the LCM of 507, 425, 487, 238, 254?

Answer: LCM of 507, 425, 487, 238, 254 is 186576785850.

2. How to calculate the LCM of 507, 425, 487, 238, 254?

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 507, 425, 487, 238, 254.

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}.