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LCM of 530, 127, 567, 642, 861

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


Find the LCM of 530, 127, 567, 642, 861 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 530, 127, 567, 642, 861. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 530,127,567,642,861

Given numbers are 530,127,567,642,861

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

The LCM of 530,127,567,642,861 is 167428845990.

Find LCM of 530,127,567,642,861 with Prime Factorization


2 530, 127, 567, 642, 861
3 265, 127, 567, 321, 861
7 265, 127, 189, 107, 287
265, 127, 27, 107, 41

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

2 x 3 x 7 x 265 x 127 x 27 x 107 x 41 = 167428845990

Therefore, the lowest common multiple of 530,127,567,642,861 is 167428845990.

LCM Formula to Find Lowest Common Multiple of 530,127,567,642,861

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.

530 x 127 x 567 x 642 x 861 = 21096034594740

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.

530 : 1, 2, 5, 10, 53, 106, 265, 530

127 : 1, 127

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

642 : 1, 2, 3, 6, 107, 214, 321, 642

861 : 1, 3, 7, 21, 41, 123, 287, 861

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,127,567,642,861, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

127:127

567:3x 3x 3x 3x 7

642:2x 3x 107

861:3x 7x 41

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

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 21096034594740/(1x126)

LCM = 21096034594740/126

LCM = 167428845990

Thus, we can understand that the LCM of 530,127,567,642,861 is 167428845990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 530, 127, 567, 642, 861

1. What is the LCM of 530, 127, 567, 642, 861?

Answer: LCM of 530, 127, 567, 642, 861 is 167428845990.

2. How to calculate the LCM of 530, 127, 567, 642, 861?

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 530, 127, 567, 642, 861.

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}.