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LCM of 952, 106, 277, 596, 596

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


Find the LCM of 952, 106, 277, 596, 596 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 952, 106, 277, 596, 596. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 952,106,277,596,596

Given numbers are 952,106,277,596,596

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

The LCM of 952,106,277,596,596 is 2082470488.

Find LCM of 952,106,277,596,596 with Prime Factorization


2 952, 106, 277, 596, 596
2 476, 53, 277, 298, 298
149 238, 53, 277, 149, 149
238, 53, 277, 1, 1

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

2 x 2 x 149 x 238 x 53 x 277 x 1 x 1 = 2082470488

Therefore, the lowest common multiple of 952,106,277,596,596 is 2082470488.

LCM Formula to Find Lowest Common Multiple of 952,106,277,596,596

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.

952 x 106 x 277 x 596 x 596 = 9929219286784

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.

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

106 : 1, 2, 53, 106

277 : 1, 277

596 : 1, 2, 4, 149, 298, 596

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,106,277,596,596, is 1.

Now, the common factors can be found like this.

952:2x 2x 2x 7x 17

106:2x 53

277:277

596:2x 2x 149

596:2x 2x 149

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 2x 149 = 4768

Therefore, the value for common factors is 4768.

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 = 9929219286784/(1x4768)

LCM = 9929219286784/4768

LCM = 2082470488

Thus, we can understand that the LCM of 952,106,277,596,596 is 2082470488.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 952, 106, 277, 596, 596

1. What is the LCM of 952, 106, 277, 596, 596?

Answer: LCM of 952, 106, 277, 596, 596 is 2082470488.

2. How to calculate the LCM of 952, 106, 277, 596, 596?

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 952, 106, 277, 596, 596.

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}.