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LCM of 613, 509, 218, 964, 771

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


Find the LCM of 613, 509, 218, 964, 771 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 613, 509, 218, 964, 771. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 613,509,218,964,771

Given numbers are 613,509,218,964,771

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

The LCM of 613,509,218,964,771 is 25277619183132.

Find LCM of 613,509,218,964,771 with Prime Factorization


2 613, 509, 218, 964, 771
613, 509, 109, 482, 771

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

2 x 613 x 509 x 109 x 482 x 771 = 25277619183132

Therefore, the lowest common multiple of 613,509,218,964,771 is 25277619183132.

LCM Formula to Find Lowest Common Multiple of 613,509,218,964,771

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.

613 x 509 x 218 x 964 x 771 = 50555238366264

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.

613 : 1, 613

509 : 1, 509

218 : 1, 2, 109, 218

964 : 1, 2, 4, 241, 482, 964

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,509,218,964,771, is 1.

Now, the common factors can be found like this.

613:613

509:509

218:2x 109

964:2x 2x 241

771:3x 257

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

2 = 2

Therefore, the value for common factors is 2.

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 = 50555238366264/(1x2)

LCM = 50555238366264/2

LCM = 25277619183132

Thus, we can understand that the LCM of 613,509,218,964,771 is 25277619183132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 613, 509, 218, 964, 771

1. What is the LCM of 613, 509, 218, 964, 771?

Answer: LCM of 613, 509, 218, 964, 771 is 25277619183132.

2. How to calculate the LCM of 613, 509, 218, 964, 771?

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 613, 509, 218, 964, 771.

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}.