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LCM of 442, 176, 880, 737

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


Find the LCM of 442, 176, 880, 737 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 442, 176, 880, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,176,880,737

Given numbers are 442,176,880,737

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

The LCM of 442,176,880,737 is 13030160.

Find LCM of 442,176,880,737 with Prime Factorization


2 442, 176, 880, 737
2 221, 88, 440, 737
2 221, 44, 220, 737
2 221, 22, 110, 737
11 221, 11, 55, 737
221, 1, 5, 67

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

2 x 2 x 2 x 2 x 11 x 221 x 1 x 5 x 67 = 13030160

Therefore, the lowest common multiple of 442,176,880,737 is 13030160.

LCM Formula to Find Lowest Common Multiple of 442,176,880,737

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.

442 x 176 x 880 x 737 = 50452779520

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,176,880,737, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

176:2x 2x 2x 2x 11

880:2x 2x 2x 2x 5x 11

737:11x 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 2x 2x 11x 11 = 3872

Therefore, the value for common factors is 3872.

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 = 50452779520/(1x3872)

LCM = 50452779520/3872

LCM = 13030160

Thus, we can understand that the LCM of 442,176,880,737 is 13030160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 176, 880, 737

1. What is the LCM of 442, 176, 880, 737?

Answer: LCM of 442, 176, 880, 737 is 13030160.

2. How to calculate the LCM of 442, 176, 880, 737?

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 442, 176, 880, 737.

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}.