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LCM of 598, 792, 968, 676

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


Find the LCM of 598, 792, 968, 676 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 598, 792, 968, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,792,968,676

Given numbers are 598,792,968,676

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

The LCM of 598,792,968,676 is 33863544.

Find LCM of 598,792,968,676 with Prime Factorization


2 598, 792, 968, 676
2 299, 396, 484, 338
2 299, 198, 242, 169
11 299, 99, 121, 169
13 299, 9, 11, 169
23, 9, 11, 13

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

2 x 2 x 2 x 11 x 13 x 23 x 9 x 11 x 13 = 33863544

Therefore, the lowest common multiple of 598,792,968,676 is 33863544.

LCM Formula to Find Lowest Common Multiple of 598,792,968,676

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.

598 x 792 x 968 x 676 = 309919154688

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,792,968,676, is 2.

Now, the common factors can be found like this.

598:2x 13x 23

792:2x 2x 2x 3x 3x 11

968:2x 2x 2x 11x 11

676:2x 2x 13x 13

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 2x 11x 13 = 4576

Therefore, the value for common factors is 4576.

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 = 309919154688/(2x4576)

LCM = 309919154688/9152

LCM = 33863544

Thus, we can understand that the LCM of 598,792,968,676 is 33863544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 792, 968, 676

1. What is the LCM of 598, 792, 968, 676?

Answer: LCM of 598, 792, 968, 676 is 33863544.

2. How to calculate the LCM of 598, 792, 968, 676?

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 598, 792, 968, 676.

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}.