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LCM of 374, 582, 977, 142, 804

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


Find the LCM of 374, 582, 977, 142, 804 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 374, 582, 977, 142, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,582,977,142,804

Given numbers are 374,582,977,142,804

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

The LCM of 374,582,977,142,804 is 1011631402452.

Find LCM of 374,582,977,142,804 with Prime Factorization


2 374, 582, 977, 142, 804
3 187, 291, 977, 71, 402
187, 97, 977, 71, 134

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

2 x 3 x 187 x 97 x 977 x 71 x 134 = 1011631402452

Therefore, the lowest common multiple of 374,582,977,142,804 is 1011631402452.

LCM Formula to Find Lowest Common Multiple of 374,582,977,142,804

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.

374 x 582 x 977 x 142 x 804 = 24279153658848

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

582 : 1, 2, 3, 6, 97, 194, 291, 582

977 : 1, 977

142 : 1, 2, 71, 142

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,582,977,142,804, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

582:2x 3x 97

977:977

142:2x 71

804:2x 2x 3x 67

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 3 = 24

Therefore, the value for common factors is 24.

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 = 24279153658848/(1x24)

LCM = 24279153658848/24

LCM = 1011631402452

Thus, we can understand that the LCM of 374,582,977,142,804 is 1011631402452.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 582, 977, 142, 804

1. What is the LCM of 374, 582, 977, 142, 804?

Answer: LCM of 374, 582, 977, 142, 804 is 1011631402452.

2. How to calculate the LCM of 374, 582, 977, 142, 804?

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 374, 582, 977, 142, 804.

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}.