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LCM of 178, 494, 804, 621, 138

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


Find the LCM of 178, 494, 804, 621, 138 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 178, 494, 804, 621, 138. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 178,494,804,621,138

Given numbers are 178,494,804,621,138

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

The LCM of 178,494,804,621,138 is 3658586724.

Find LCM of 178,494,804,621,138 with Prime Factorization


2 178, 494, 804, 621, 138
3 89, 247, 402, 621, 69
23 89, 247, 134, 207, 23
89, 247, 134, 9, 1

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

2 x 3 x 23 x 89 x 247 x 134 x 9 x 1 = 3658586724

Therefore, the lowest common multiple of 178,494,804,621,138 is 3658586724.

LCM Formula to Find Lowest Common Multiple of 178,494,804,621,138

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.

178 x 494 x 804 x 621 x 138 = 6058619614944

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.

178 : 1, 2, 89, 178

494 : 1, 2, 13, 19, 26, 38, 247, 494

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

621 : 1, 3, 9, 23, 27, 69, 207, 621

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,494,804,621,138, is 1.

Now, the common factors can be found like this.

178:2x 89

494:2x 13x 19

804:2x 2x 3x 67

621:3x 3x 3x 23

138:2x 3x 23

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 3x 3x 23 = 1656

Therefore, the value for common factors is 1656.

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 = 6058619614944/(1x1656)

LCM = 6058619614944/1656

LCM = 3658586724

Thus, we can understand that the LCM of 178,494,804,621,138 is 3658586724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 178, 494, 804, 621, 138

1. What is the LCM of 178, 494, 804, 621, 138?

Answer: LCM of 178, 494, 804, 621, 138 is 3658586724.

2. How to calculate the LCM of 178, 494, 804, 621, 138?

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 178, 494, 804, 621, 138.

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}.