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LCM of 789, 850, 386, 147, 927

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


Find the LCM of 789, 850, 386, 147, 927 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 789, 850, 386, 147, 927. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 789,850,386,147,927

Given numbers are 789,850,386,147,927

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

The LCM of 789,850,386,147,927 is 1959782148450.

Find LCM of 789,850,386,147,927 with Prime Factorization


2 789, 850, 386, 147, 927
3 789, 425, 193, 147, 927
263, 425, 193, 49, 309

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

2 x 3 x 263 x 425 x 193 x 49 x 309 = 1959782148450

Therefore, the lowest common multiple of 789,850,386,147,927 is 1959782148450.

LCM Formula to Find Lowest Common Multiple of 789,850,386,147,927

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.

789 x 850 x 386 x 147 x 927 = 35276078672100

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.

789 : 1, 3, 263, 789

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

386 : 1, 2, 193, 386

147 : 1, 3, 7, 21, 49, 147

927 : 1, 3, 9, 103, 309, 927

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,850,386,147,927, is 1.

Now, the common factors can be found like this.

789:3x 263

850:2x 5x 5x 17

386:2x 193

147:3x 7x 7

927:3x 3x 103

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 35276078672100/(1x18)

LCM = 35276078672100/18

LCM = 1959782148450

Thus, we can understand that the LCM of 789,850,386,147,927 is 1959782148450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 789, 850, 386, 147, 927

1. What is the LCM of 789, 850, 386, 147, 927?

Answer: LCM of 789, 850, 386, 147, 927 is 1959782148450.

2. How to calculate the LCM of 789, 850, 386, 147, 927?

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 789, 850, 386, 147, 927.

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}.