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LCM of 187, 425, 527, 488

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


Find the LCM of 187, 425, 527, 488 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 187, 425, 527, 488. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,425,527,488

Given numbers are 187,425,527,488

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

The LCM of 187,425,527,488 is 70723400.

Find LCM of 187,425,527,488 with Prime Factorization


17 187, 425, 527, 488
11, 25, 31, 488

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

17 x 11 x 25 x 31 x 488 = 70723400

Therefore, the lowest common multiple of 187,425,527,488 is 70723400.

LCM Formula to Find Lowest Common Multiple of 187,425,527,488

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.

187 x 425 x 527 x 488 = 20439062600

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.

187 : 1, 11, 17, 187

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

527 : 1, 17, 31, 527

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,425,527,488, is 1.

Now, the common factors can be found like this.

187:11x 17

425:5x 5x 17

527:17x 31

488:2x 2x 2x 61

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 20439062600/(1x289)

LCM = 20439062600/289

LCM = 70723400

Thus, we can understand that the LCM of 187,425,527,488 is 70723400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 425, 527, 488

1. What is the LCM of 187, 425, 527, 488?

Answer: LCM of 187, 425, 527, 488 is 70723400.

2. How to calculate the LCM of 187, 425, 527, 488?

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 187, 425, 527, 488.

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}.