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LCM of 616, 638, 959, 859, 464

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


Find the LCM of 616, 638, 959, 859, 464 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 616, 638, 959, 859, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,638,959,859,464

Given numbers are 616,638,959,859,464

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

The LCM of 616,638,959,859,464 is 4204578224.

Find LCM of 616,638,959,859,464 with Prime Factorization


2 616, 638, 959, 859, 464
2 308, 319, 959, 859, 232
2 154, 319, 959, 859, 116
7 77, 319, 959, 859, 58
11 11, 319, 137, 859, 58
29 1, 29, 137, 859, 58
1, 1, 137, 859, 2

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

2 x 2 x 2 x 7 x 11 x 29 x 1 x 1 x 137 x 859 x 2 = 4204578224

Therefore, the lowest common multiple of 616,638,959,859,464 is 4204578224.

LCM Formula to Find Lowest Common Multiple of 616,638,959,859,464

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.

616 x 638 x 959 x 859 x 464 = 150221170787072

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

638 : 1, 2, 11, 22, 29, 58, 319, 638

959 : 1, 7, 137, 959

859 : 1, 859

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,638,959,859,464, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

638:2x 11x 29

959:7x 137

859:859

464:2x 2x 2x 2x 29

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

2x 2x 2x 2x 7x 11x 29 = 35728

Therefore, the value for common factors is 35728.

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 = 150221170787072/(1x35728)

LCM = 150221170787072/35728

LCM = 4204578224

Thus, we can understand that the LCM of 616,638,959,859,464 is 4204578224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 638, 959, 859, 464

1. What is the LCM of 616, 638, 959, 859, 464?

Answer: LCM of 616, 638, 959, 859, 464 is 4204578224.

2. How to calculate the LCM of 616, 638, 959, 859, 464?

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 616, 638, 959, 859, 464.

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}.