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LCM of 154, 427, 448, 672, 801

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


Find the LCM of 154, 427, 448, 672, 801 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 154, 427, 448, 672, 801. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 154,427,448,672,801

Given numbers are 154,427,448,672,801

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

The LCM of 154,427,448,672,801 is 240787008.

Find LCM of 154,427,448,672,801 with Prime Factorization


2 154, 427, 448, 672, 801
2 77, 427, 224, 336, 801
2 77, 427, 112, 168, 801
2 77, 427, 56, 84, 801
2 77, 427, 28, 42, 801
3 77, 427, 14, 21, 801
7 77, 427, 14, 7, 267
11, 61, 2, 1, 267

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

2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 61 x 2 x 1 x 267 = 240787008

Therefore, the lowest common multiple of 154,427,448,672,801 is 240787008.

LCM Formula to Find Lowest Common Multiple of 154,427,448,672,801

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.

154 x 427 x 448 x 672 x 801 = 15857269198848

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.

154 : 1, 2, 7, 11, 14, 22, 77, 154

427 : 1, 7, 61, 427

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

801 : 1, 3, 9, 89, 267, 801

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,427,448,672,801, is 1.

Now, the common factors can be found like this.

154:2x 7x 11

427:7x 61

448:2x 2x 2x 2x 2x 2x 7

672:2x 2x 2x 2x 2x 3x 7

801:3x 3x 89

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 2x 3x 7x 7x 7 = 65856

Therefore, the value for common factors is 65856.

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 = 15857269198848/(1x65856)

LCM = 15857269198848/65856

LCM = 240787008

Thus, we can understand that the LCM of 154,427,448,672,801 is 240787008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 154, 427, 448, 672, 801

1. What is the LCM of 154, 427, 448, 672, 801?

Answer: LCM of 154, 427, 448, 672, 801 is 240787008.

2. How to calculate the LCM of 154, 427, 448, 672, 801?

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 154, 427, 448, 672, 801.

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}.