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LCM of 893, 120, 228

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


Find the LCM of 893, 120, 228 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 893, 120, 228. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,120,228

Given numbers are 893,120,228

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

The LCM of 893,120,228 is 107160.

Find LCM of 893,120,228 with Prime Factorization


2 893, 120, 228
2 893, 60, 114
3 893, 30, 57
19 893, 10, 19
47, 10, 1

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

2 x 2 x 3 x 19 x 47 x 10 x 1 = 107160

Therefore, the lowest common multiple of 893,120,228 is 107160.

LCM Formula to Find Lowest Common Multiple of 893,120,228

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.

893 x 120 x 228 = 24432480

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.

893 : 1, 19, 47, 893

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,120,228, is 1.

Now, the common factors can be found like this.

893:19x 47

120:2x 2x 2x 3x 5

228:2x 2x 3x 19

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 24432480/(1x228)

LCM = 24432480/228

LCM = 107160

Thus, we can understand that the LCM of 893,120,228 is 107160.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 893, 120, 228

1. What is the LCM of 893, 120, 228?

Answer: LCM of 893, 120, 228 is 107160.

2. How to calculate the LCM of 893, 120, 228?

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 893, 120, 228.

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}.