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LCM of 978, 789, 263, 133

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


Find the LCM of 978, 789, 263, 133 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 978, 789, 263, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,789,263,133

Given numbers are 978,789,263,133

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

The LCM of 978,789,263,133 is 34209462.

Find LCM of 978,789,263,133 with Prime Factorization


3 978, 789, 263, 133
263 326, 263, 263, 133
326, 1, 1, 133

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

3 x 263 x 326 x 1 x 1 x 133 = 34209462

Therefore, the lowest common multiple of 978,789,263,133 is 34209462.

LCM Formula to Find Lowest Common Multiple of 978,789,263,133

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.

978 x 789 x 263 x 133 = 26991265518

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.

978 : 1, 2, 3, 6, 163, 326, 489, 978

789 : 1, 3, 263, 789

263 : 1, 263

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,789,263,133, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

789:3x 263

263:263

133:7x 19

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

3x 263 = 789

Therefore, the value for common factors is 789.

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 = 26991265518/(1x789)

LCM = 26991265518/789

LCM = 34209462

Thus, we can understand that the LCM of 978,789,263,133 is 34209462.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 789, 263, 133

1. What is the LCM of 978, 789, 263, 133?

Answer: LCM of 978, 789, 263, 133 is 34209462.

2. How to calculate the LCM of 978, 789, 263, 133?

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 978, 789, 263, 133.

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}.