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LCM of 449, 737, 153, 908, 524

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


Find the LCM of 449, 737, 153, 908, 524 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 449, 737, 153, 908, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 449,737,153,908,524

Given numbers are 449,737,153,908,524

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

The LCM of 449,737,153,908,524 is 6022300247172.

Find LCM of 449,737,153,908,524 with Prime Factorization


2 449, 737, 153, 908, 524
2 449, 737, 153, 454, 262
449, 737, 153, 227, 131

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

2 x 2 x 449 x 737 x 153 x 227 x 131 = 6022300247172

Therefore, the lowest common multiple of 449,737,153,908,524 is 6022300247172.

LCM Formula to Find Lowest Common Multiple of 449,737,153,908,524

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.

449 x 737 x 153 x 908 x 524 = 24089200988688

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.

449 : 1, 449

737 : 1, 11, 67, 737

153 : 1, 3, 9, 17, 51, 153

908 : 1, 2, 4, 227, 454, 908

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,737,153,908,524, is 1.

Now, the common factors can be found like this.

449:449

737:11x 67

153:3x 3x 17

908:2x 2x 227

524:2x 2x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 24089200988688/(1x4)

LCM = 24089200988688/4

LCM = 6022300247172

Thus, we can understand that the LCM of 449,737,153,908,524 is 6022300247172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 449, 737, 153, 908, 524

1. What is the LCM of 449, 737, 153, 908, 524?

Answer: LCM of 449, 737, 153, 908, 524 is 6022300247172.

2. How to calculate the LCM of 449, 737, 153, 908, 524?

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 449, 737, 153, 908, 524.

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}.