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LCM of 712, 969, 106

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


Find the LCM of 712, 969, 106 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 712, 969, 106. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 712,969,106

Given numbers are 712,969,106

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

The LCM of 712,969,106 is 36566184.

Find LCM of 712,969,106 with Prime Factorization


2 712, 969, 106
356, 969, 53

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

2 x 356 x 969 x 53 = 36566184

Therefore, the lowest common multiple of 712,969,106 is 36566184.

LCM Formula to Find Lowest Common Multiple of 712,969,106

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.

712 x 969 x 106 = 73132368

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.

712 : 1, 2, 4, 8, 89, 178, 356, 712

969 : 1, 3, 17, 19, 51, 57, 323, 969

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,969,106, is 1.

Now, the common factors can be found like this.

712:2x 2x 2x 89

969:3x 17x 19

106:2x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 73132368/(1x2)

LCM = 73132368/2

LCM = 36566184

Thus, we can understand that the LCM of 712,969,106 is 36566184.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 712, 969, 106

1. What is the LCM of 712, 969, 106?

Answer: LCM of 712, 969, 106 is 36566184.

2. How to calculate the LCM of 712, 969, 106?

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 712, 969, 106.

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}.