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LCM of 962, 872, 654

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


Find the LCM of 962, 872, 654 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 962, 872, 654. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 962,872,654

Given numbers are 962,872,654

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

The LCM of 962,872,654 is 1258296.

Find LCM of 962,872,654 with Prime Factorization


2 962, 872, 654
109 481, 436, 327
481, 4, 3

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

2 x 109 x 481 x 4 x 3 = 1258296

Therefore, the lowest common multiple of 962,872,654 is 1258296.

LCM Formula to Find Lowest Common Multiple of 962,872,654

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.

962 x 872 x 654 = 548617056

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.

962 : 1, 2, 13, 26, 37, 74, 481, 962

872 : 1, 2, 4, 8, 109, 218, 436, 872

654 : 1, 2, 3, 6, 109, 218, 327, 654

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,872,654, is 2.

Now, the common factors can be found like this.

962:2x 13x 37

872:2x 2x 2x 109

654:2x 3x 109

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

2x 109 = 218

Therefore, the value for common factors is 218.

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 = 548617056/(2x218)

LCM = 548617056/436

LCM = 1258296

Thus, we can understand that the LCM of 962,872,654 is 1258296.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 962, 872, 654

1. What is the LCM of 962, 872, 654?

Answer: LCM of 962, 872, 654 is 1258296.

2. How to calculate the LCM of 962, 872, 654?

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 962, 872, 654.

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}.