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LCM of 845, 515, 427, 660

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


Find the LCM of 845, 515, 427, 660 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 845, 515, 427, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,515,427,660

Given numbers are 845,515,427,660

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

The LCM of 845,515,427,660 is 4905640740.

Find LCM of 845,515,427,660 with Prime Factorization


5 845, 515, 427, 660
169, 103, 427, 132

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

5 x 169 x 103 x 427 x 132 = 4905640740

Therefore, the lowest common multiple of 845,515,427,660 is 4905640740.

LCM Formula to Find Lowest Common Multiple of 845,515,427,660

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.

845 x 515 x 427 x 660 = 122641018500

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.

845 : 1, 5, 13, 65, 169, 845

515 : 1, 5, 103, 515

427 : 1, 7, 61, 427

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,515,427,660, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

515:5x 103

427:7x 61

660:2x 2x 3x 5x 11

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 122641018500/(1x25)

LCM = 122641018500/25

LCM = 4905640740

Thus, we can understand that the LCM of 845,515,427,660 is 4905640740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 845, 515, 427, 660

1. What is the LCM of 845, 515, 427, 660?

Answer: LCM of 845, 515, 427, 660 is 4905640740.

2. How to calculate the LCM of 845, 515, 427, 660?

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 845, 515, 427, 660.

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}.