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LCM of 198, 792, 713, 968, 269

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


Find the LCM of 198, 792, 713, 968, 269 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 198, 792, 713, 968, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,792,713,968,269

Given numbers are 198,792,713,968,269

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

The LCM of 198,792,713,968,269 is 1670935464.

Find LCM of 198,792,713,968,269 with Prime Factorization


2 198, 792, 713, 968, 269
2 99, 396, 713, 484, 269
2 99, 198, 713, 242, 269
3 99, 99, 713, 121, 269
3 33, 33, 713, 121, 269
11 11, 11, 713, 121, 269
1, 1, 713, 11, 269

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

2 x 2 x 2 x 3 x 3 x 11 x 1 x 1 x 713 x 11 x 269 = 1670935464

Therefore, the lowest common multiple of 198,792,713,968,269 is 1670935464.

LCM Formula to Find Lowest Common Multiple of 198,792,713,968,269

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.

198 x 792 x 713 x 968 x 269 = 29114379524736

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

713 : 1, 23, 31, 713

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

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,792,713,968,269, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

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

713:23x 31

968:2x 2x 2x 11x 11

269:269

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 3x 3x 11x 11 = 17424

Therefore, the value for common factors is 17424.

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 = 29114379524736/(1x17424)

LCM = 29114379524736/17424

LCM = 1670935464

Thus, we can understand that the LCM of 198,792,713,968,269 is 1670935464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 792, 713, 968, 269

1. What is the LCM of 198, 792, 713, 968, 269?

Answer: LCM of 198, 792, 713, 968, 269 is 1670935464.

2. How to calculate the LCM of 198, 792, 713, 968, 269?

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 198, 792, 713, 968, 269.

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}.