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LCM of 972, 618, 629

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


Find the LCM of 972, 618, 629 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 972, 618, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,618,629

Given numbers are 972,618,629

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

The LCM of 972,618,629 is 62972964.

Find LCM of 972,618,629 with Prime Factorization


2 972, 618, 629
3 486, 309, 629
162, 103, 629

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

2 x 3 x 162 x 103 x 629 = 62972964

Therefore, the lowest common multiple of 972,618,629 is 62972964.

LCM Formula to Find Lowest Common Multiple of 972,618,629

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.

972 x 618 x 629 = 377837784

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

618 : 1, 2, 3, 6, 103, 206, 309, 618

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,618,629, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

618:2x 3x 103

629:17x 37

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 377837784/(1x6)

LCM = 377837784/6

LCM = 62972964

Thus, we can understand that the LCM of 972,618,629 is 62972964.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 972, 618, 629

1. What is the LCM of 972, 618, 629?

Answer: LCM of 972, 618, 629 is 62972964.

2. How to calculate the LCM of 972, 618, 629?

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 972, 618, 629.

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}.