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LCM of 149, 745, 448, 84

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


Find the LCM of 149, 745, 448, 84 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 149, 745, 448, 84. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 149,745,448,84

Given numbers are 149,745,448,84

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

The LCM of 149,745,448,84 is 1001280.

Find LCM of 149,745,448,84 with Prime Factorization


2 149, 745, 448, 84
2 149, 745, 224, 42
7 149, 745, 112, 21
149 149, 745, 16, 3
1, 5, 16, 3

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

2 x 2 x 7 x 149 x 1 x 5 x 16 x 3 = 1001280

Therefore, the lowest common multiple of 149,745,448,84 is 1001280.

LCM Formula to Find Lowest Common Multiple of 149,745,448,84

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.

149 x 745 x 448 x 84 = 4177340160

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.

149 : 1, 149

745 : 1, 5, 149, 745

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

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,745,448,84, is 1.

Now, the common factors can be found like this.

149:149

745:5x 149

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

84:2x 2x 3x 7

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 7x 149 = 4172

Therefore, the value for common factors is 4172.

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 = 4177340160/(1x4172)

LCM = 4177340160/4172

LCM = 1001280

Thus, we can understand that the LCM of 149,745,448,84 is 1001280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 149, 745, 448, 84

1. What is the LCM of 149, 745, 448, 84?

Answer: LCM of 149, 745, 448, 84 is 1001280.

2. How to calculate the LCM of 149, 745, 448, 84?

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 149, 745, 448, 84.

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}.