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LCM of 905, 989, 875, 941, 339

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


Find the LCM of 905, 989, 875, 941, 339 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 905, 989, 875, 941, 339. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 905,989,875,941,339

Given numbers are 905,989,875,941,339

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

The LCM of 905,989,875,941,339 is 49965730492125.

Find LCM of 905,989,875,941,339 with Prime Factorization


5 905, 989, 875, 941, 339
181, 989, 175, 941, 339

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

5 x 181 x 989 x 175 x 941 x 339 = 49965730492125

Therefore, the lowest common multiple of 905,989,875,941,339 is 49965730492125.

LCM Formula to Find Lowest Common Multiple of 905,989,875,941,339

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.

905 x 989 x 875 x 941 x 339 = 249828652460625

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.

905 : 1, 5, 181, 905

989 : 1, 23, 43, 989

875 : 1, 5, 7, 25, 35, 125, 175, 875

941 : 1, 941

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,989,875,941,339, is 1.

Now, the common factors can be found like this.

905:5x 181

989:23x 43

875:5x 5x 5x 7

941:941

339:3x 113

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

5 = 5

Therefore, the value for common factors is 5.

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 = 249828652460625/(1x5)

LCM = 249828652460625/5

LCM = 49965730492125

Thus, we can understand that the LCM of 905,989,875,941,339 is 49965730492125.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 905, 989, 875, 941, 339

1. What is the LCM of 905, 989, 875, 941, 339?

Answer: LCM of 905, 989, 875, 941, 339 is 49965730492125.

2. How to calculate the LCM of 905, 989, 875, 941, 339?

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 905, 989, 875, 941, 339.

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}.