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LCM of 890, 835, 623, 235

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


Find the LCM of 890, 835, 623, 235 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 890, 835, 623, 235. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 890,835,623,235

Given numbers are 890,835,623,235

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

The LCM of 890,835,623,235 is 48899270.

Find LCM of 890,835,623,235 with Prime Factorization


5 890, 835, 623, 235
89 178, 167, 623, 47
2, 167, 7, 47

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

5 x 89 x 2 x 167 x 7 x 47 = 48899270

Therefore, the lowest common multiple of 890,835,623,235 is 48899270.

LCM Formula to Find Lowest Common Multiple of 890,835,623,235

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.

890 x 835 x 623 x 235 = 108800875750

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

835 : 1, 5, 167, 835

623 : 1, 7, 89, 623

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,835,623,235, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

835:5x 167

623:7x 89

235:5x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5x 89 = 2225

Therefore, the value for common factors is 2225.

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 = 108800875750/(1x2225)

LCM = 108800875750/2225

LCM = 48899270

Thus, we can understand that the LCM of 890,835,623,235 is 48899270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 890, 835, 623, 235

1. What is the LCM of 890, 835, 623, 235?

Answer: LCM of 890, 835, 623, 235 is 48899270.

2. How to calculate the LCM of 890, 835, 623, 235?

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 890, 835, 623, 235.

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}.