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LCM of 789, 529, 785, 196, 268

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


Find the LCM of 789, 529, 785, 196, 268 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, 529, 785, 196, 268. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 789,529,785,196,268

Given numbers are 789,529,785,196,268

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

The LCM of 789,529,785,196,268 is 4302622124220.

Find LCM of 789,529,785,196,268 with Prime Factorization


2 789, 529, 785, 196, 268
2 789, 529, 785, 98, 134
789, 529, 785, 49, 67

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

2 x 2 x 789 x 529 x 785 x 49 x 67 = 4302622124220

Therefore, the lowest common multiple of 789,529,785,196,268 is 4302622124220.

LCM Formula to Find Lowest Common Multiple of 789,529,785,196,268

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 529 x 785 x 196 x 268 = 17210488496880

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

529 : 1, 23, 529

785 : 1, 5, 157, 785

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,529,785,196,268, is 1.

Now, the common factors can be found like this.

789:3x 263

529:23x 23

785:5x 157

196:2x 2x 7x 7

268:2x 2x 67

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 17210488496880/(1x4)

LCM = 17210488496880/4

LCM = 4302622124220

Thus, we can understand that the LCM of 789,529,785,196,268 is 4302622124220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 789, 529, 785, 196, 268

1. What is the LCM of 789, 529, 785, 196, 268?

Answer: LCM of 789, 529, 785, 196, 268 is 4302622124220.

2. How to calculate the LCM of 789, 529, 785, 196, 268?

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, 529, 785, 196, 268.

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}.