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LCM of 880, 734, 920, 162, 635

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


Find the LCM of 880, 734, 920, 162, 635 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 880, 734, 920, 162, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,734,920,162,635

Given numbers are 880,734,920,162,635

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

The LCM of 880,734,920,162,635 is 76412658960.

Find LCM of 880,734,920,162,635 with Prime Factorization


2 880, 734, 920, 162, 635
2 440, 367, 460, 81, 635
2 220, 367, 230, 81, 635
5 110, 367, 115, 81, 635
22, 367, 23, 81, 127

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

2 x 2 x 2 x 5 x 22 x 367 x 23 x 81 x 127 = 76412658960

Therefore, the lowest common multiple of 880,734,920,162,635 is 76412658960.

LCM Formula to Find Lowest Common Multiple of 880,734,920,162,635

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.

880 x 734 x 920 x 162 x 635 = 61130127168000

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.

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

734 : 1, 2, 367, 734

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,734,920,162,635, is 1.

Now, the common factors can be found like this.

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

734:2x 367

920:2x 2x 2x 5x 23

162:2x 3x 3x 3x 3

635:5x 127

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 61130127168000/(1x800)

LCM = 61130127168000/800

LCM = 76412658960

Thus, we can understand that the LCM of 880,734,920,162,635 is 76412658960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 734, 920, 162, 635

1. What is the LCM of 880, 734, 920, 162, 635?

Answer: LCM of 880, 734, 920, 162, 635 is 76412658960.

2. How to calculate the LCM of 880, 734, 920, 162, 635?

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 880, 734, 920, 162, 635.

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}.