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LCM of 488, 250, 301, 430, 307

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


Find the LCM of 488, 250, 301, 430, 307 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 488, 250, 301, 430, 307. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 488,250,301,430,307

Given numbers are 488,250,301,430,307

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

The LCM of 488,250,301,430,307 is 5636827000.

Find LCM of 488,250,301,430,307 with Prime Factorization


2 488, 250, 301, 430, 307
5 244, 125, 301, 215, 307
43 244, 25, 301, 43, 307
244, 25, 7, 1, 307

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

2 x 5 x 43 x 244 x 25 x 7 x 1 x 307 = 5636827000

Therefore, the lowest common multiple of 488,250,301,430,307 is 5636827000.

LCM Formula to Find Lowest Common Multiple of 488,250,301,430,307

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.

488 x 250 x 301 x 430 x 307 = 4847671220000

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

250 : 1, 2, 5, 10, 25, 50, 125, 250

301 : 1, 7, 43, 301

430 : 1, 2, 5, 10, 43, 86, 215, 430

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,250,301,430,307, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

250:2x 5x 5x 5

301:7x 43

430:2x 5x 43

307:307

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 5x 43 = 860

Therefore, the value for common factors is 860.

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 = 4847671220000/(1x860)

LCM = 4847671220000/860

LCM = 5636827000

Thus, we can understand that the LCM of 488,250,301,430,307 is 5636827000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 488, 250, 301, 430, 307

1. What is the LCM of 488, 250, 301, 430, 307?

Answer: LCM of 488, 250, 301, 430, 307 is 5636827000.

2. How to calculate the LCM of 488, 250, 301, 430, 307?

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 488, 250, 301, 430, 307.

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}.