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LCM of 127, 381, 531, 715

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


Find the LCM of 127, 381, 531, 715 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 127, 381, 531, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 127,381,531,715

Given numbers are 127,381,531,715

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

The LCM of 127,381,531,715 is 48217455.

Find LCM of 127,381,531,715 with Prime Factorization


3 127, 381, 531, 715
127 127, 127, 177, 715
1, 1, 177, 715

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

3 x 127 x 1 x 1 x 177 x 715 = 48217455

Therefore, the lowest common multiple of 127,381,531,715 is 48217455.

LCM Formula to Find Lowest Common Multiple of 127,381,531,715

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.

127 x 381 x 531 x 715 = 18370850355

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.

127 : 1, 127

381 : 1, 3, 127, 381

531 : 1, 3, 9, 59, 177, 531

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,381,531,715, is 1.

Now, the common factors can be found like this.

127:127

381:3x 127

531:3x 3x 59

715:5x 11x 13

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

3x 127 = 381

Therefore, the value for common factors is 381.

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 = 18370850355/(1x381)

LCM = 18370850355/381

LCM = 48217455

Thus, we can understand that the LCM of 127,381,531,715 is 48217455.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 127, 381, 531, 715

1. What is the LCM of 127, 381, 531, 715?

Answer: LCM of 127, 381, 531, 715 is 48217455.

2. How to calculate the LCM of 127, 381, 531, 715?

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 127, 381, 531, 715.

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}.