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LCM of 920, 220, 891, 895

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


Find the LCM of 920, 220, 891, 895 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 920, 220, 891, 895. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 920,220,891,895

Given numbers are 920,220,891,895

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

The LCM of 920,220,891,895 is 146729880.

Find LCM of 920,220,891,895 with Prime Factorization


2 920, 220, 891, 895
2 460, 110, 891, 895
5 230, 55, 891, 895
11 46, 11, 891, 179
46, 1, 81, 179

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

2 x 2 x 5 x 11 x 46 x 1 x 81 x 179 = 146729880

Therefore, the lowest common multiple of 920,220,891,895 is 146729880.

LCM Formula to Find Lowest Common Multiple of 920,220,891,895

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.

920 x 220 x 891 x 895 = 161402868000

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.

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

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

895 : 1, 5, 179, 895

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,220,891,895, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

220:2x 2x 5x 11

891:3x 3x 3x 3x 11

895:5x 179

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 5x 5x 11 = 1100

Therefore, the value for common factors is 1100.

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 = 161402868000/(1x1100)

LCM = 161402868000/1100

LCM = 146729880

Thus, we can understand that the LCM of 920,220,891,895 is 146729880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 920, 220, 891, 895

1. What is the LCM of 920, 220, 891, 895?

Answer: LCM of 920, 220, 891, 895 is 146729880.

2. How to calculate the LCM of 920, 220, 891, 895?

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 920, 220, 891, 895.

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}.