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LCM of 834, 834, 782, 274

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


Find the LCM of 834, 834, 782, 274 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 834, 834, 782, 274. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,834,782,274

Given numbers are 834,834,782,274

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

The LCM of 834,834,782,274 is 44674878.

Find LCM of 834,834,782,274 with Prime Factorization


2 834, 834, 782, 274
3 417, 417, 391, 137
139 139, 139, 391, 137
1, 1, 391, 137

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

2 x 3 x 139 x 1 x 1 x 391 x 137 = 44674878

Therefore, the lowest common multiple of 834,834,782,274 is 44674878.

LCM Formula to Find Lowest Common Multiple of 834,834,782,274

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.

834 x 834 x 782 x 274 = 149035393008

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

834 : 1, 2, 3, 6, 139, 278, 417, 834

782 : 1, 2, 17, 23, 34, 46, 391, 782

274 : 1, 2, 137, 274

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,834,782,274, is 2.

Now, the common factors can be found like this.

834:2x 3x 139

834:2x 3x 139

782:2x 17x 23

274:2x 137

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 3x 139 = 1668

Therefore, the value for common factors is 1668.

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 = 149035393008/(2x1668)

LCM = 149035393008/3336

LCM = 44674878

Thus, we can understand that the LCM of 834,834,782,274 is 44674878.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 834, 834, 782, 274

1. What is the LCM of 834, 834, 782, 274?

Answer: LCM of 834, 834, 782, 274 is 44674878.

2. How to calculate the LCM of 834, 834, 782, 274?

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 834, 834, 782, 274.

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}.