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LCM of 291, 696, 614, 789, 936

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


Find the LCM of 291, 696, 614, 789, 936 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 291, 696, 614, 789, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 291,696,614,789,936

Given numbers are 291,696,614,789,936

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

The LCM of 291,696,614,789,936 is 212588469288.

Find LCM of 291,696,614,789,936 with Prime Factorization


2 291, 696, 614, 789, 936
2 291, 348, 307, 789, 468
2 291, 174, 307, 789, 234
3 291, 87, 307, 789, 117
97, 29, 307, 263, 39

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

2 x 2 x 2 x 3 x 97 x 29 x 307 x 263 x 39 = 212588469288

Therefore, the lowest common multiple of 291,696,614,789,936 is 212588469288.

LCM Formula to Find Lowest Common Multiple of 291,696,614,789,936

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.

291 x 696 x 614 x 789 x 936 = 91838218732416

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.

291 : 1, 3, 97, 291

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

614 : 1, 2, 307, 614

789 : 1, 3, 263, 789

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,696,614,789,936, is 1.

Now, the common factors can be found like this.

291:3x 97

696:2x 2x 2x 3x 29

614:2x 307

789:3x 263

936:2x 2x 2x 3x 3x 13

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

2x 2x 2x 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 91838218732416/(1x432)

LCM = 91838218732416/432

LCM = 212588469288

Thus, we can understand that the LCM of 291,696,614,789,936 is 212588469288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 291, 696, 614, 789, 936

1. What is the LCM of 291, 696, 614, 789, 936?

Answer: LCM of 291, 696, 614, 789, 936 is 212588469288.

2. How to calculate the LCM of 291, 696, 614, 789, 936?

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 291, 696, 614, 789, 936.

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}.