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LCM of 826, 120, 140, 233

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


Find the LCM of 826, 120, 140, 233 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 826, 120, 140, 233. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 826,120,140,233

Given numbers are 826,120,140,233

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

The LCM of 826,120,140,233 is 11547480.

Find LCM of 826,120,140,233 with Prime Factorization


2 826, 120, 140, 233
2 413, 60, 70, 233
5 413, 30, 35, 233
7 413, 6, 7, 233
59, 6, 1, 233

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

2 x 2 x 5 x 7 x 59 x 6 x 1 x 233 = 11547480

Therefore, the lowest common multiple of 826,120,140,233 is 11547480.

LCM Formula to Find Lowest Common Multiple of 826,120,140,233

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.

826 x 120 x 140 x 233 = 3233294400

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

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

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,120,140,233, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

120:2x 2x 2x 3x 5

140:2x 2x 5x 7

233:233

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 5x 7 = 280

Therefore, the value for common factors is 280.

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 = 3233294400/(1x280)

LCM = 3233294400/280

LCM = 11547480

Thus, we can understand that the LCM of 826,120,140,233 is 11547480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 826, 120, 140, 233

1. What is the LCM of 826, 120, 140, 233?

Answer: LCM of 826, 120, 140, 233 is 11547480.

2. How to calculate the LCM of 826, 120, 140, 233?

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 826, 120, 140, 233.

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}.