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LCM of 168, 247, 777, 746, 482

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


Find the LCM of 168, 247, 777, 746, 482 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 168, 247, 777, 746, 482. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 168,247,777,746,482

Given numbers are 168,247,777,746,482

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

The LCM of 168,247,777,746,482 is 138017397336.

Find LCM of 168,247,777,746,482 with Prime Factorization


2 168, 247, 777, 746, 482
3 84, 247, 777, 373, 241
7 28, 247, 259, 373, 241
4, 247, 37, 373, 241

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

2 x 3 x 7 x 4 x 247 x 37 x 373 x 241 = 138017397336

Therefore, the lowest common multiple of 168,247,777,746,482 is 138017397336.

LCM Formula to Find Lowest Common Multiple of 168,247,777,746,482

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.

168 x 247 x 777 x 746 x 482 = 11593461376224

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.

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

247 : 1, 13, 19, 247

777 : 1, 3, 7, 21, 37, 111, 259, 777

746 : 1, 2, 373, 746

482 : 1, 2, 241, 482

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,247,777,746,482, is 1.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

247:13x 19

777:3x 7x 37

746:2x 373

482:2x 241

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 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 11593461376224/(1x84)

LCM = 11593461376224/84

LCM = 138017397336

Thus, we can understand that the LCM of 168,247,777,746,482 is 138017397336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 168, 247, 777, 746, 482

1. What is the LCM of 168, 247, 777, 746, 482?

Answer: LCM of 168, 247, 777, 746, 482 is 138017397336.

2. How to calculate the LCM of 168, 247, 777, 746, 482?

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 168, 247, 777, 746, 482.

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}.