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LCM of 964, 551, 589, 246

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


Find the LCM of 964, 551, 589, 246 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 964, 551, 589, 246. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 964,551,589,246

Given numbers are 964,551,589,246

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

The LCM of 964,551,589,246 is 2025328332.

Find LCM of 964,551,589,246 with Prime Factorization


2 964, 551, 589, 246
19 482, 551, 589, 123
482, 29, 31, 123

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

2 x 19 x 482 x 29 x 31 x 123 = 2025328332

Therefore, the lowest common multiple of 964,551,589,246 is 2025328332.

LCM Formula to Find Lowest Common Multiple of 964,551,589,246

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.

964 x 551 x 589 x 246 = 76962476616

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.

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

551 : 1, 19, 29, 551

589 : 1, 19, 31, 589

246 : 1, 2, 3, 6, 41, 82, 123, 246

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,551,589,246, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

551:19x 29

589:19x 31

246:2x 3x 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 19 = 38

Therefore, the value for common factors is 38.

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 = 76962476616/(1x38)

LCM = 76962476616/38

LCM = 2025328332

Thus, we can understand that the LCM of 964,551,589,246 is 2025328332.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 964, 551, 589, 246

1. What is the LCM of 964, 551, 589, 246?

Answer: LCM of 964, 551, 589, 246 is 2025328332.

2. How to calculate the LCM of 964, 551, 589, 246?

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 964, 551, 589, 246.

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}.