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LCM of 630, 936, 982

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


Find the LCM of 630, 936, 982 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 630, 936, 982. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,936,982

Given numbers are 630,936,982

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

The LCM of 630,936,982 is 16085160.

Find LCM of 630,936,982 with Prime Factorization


2 630, 936, 982
3 315, 468, 491
3 105, 156, 491
35, 52, 491

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

2 x 3 x 3 x 35 x 52 x 491 = 16085160

Therefore, the lowest common multiple of 630,936,982 is 16085160.

LCM Formula to Find Lowest Common Multiple of 630,936,982

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.

630 x 936 x 982 = 579065760

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

982 : 1, 2, 491, 982

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,936,982, is 2.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

936:2x 2x 2x 3x 3x 13

982:2x 491

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 579065760/(2x18)

LCM = 579065760/36

LCM = 16085160

Thus, we can understand that the LCM of 630,936,982 is 16085160.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 630, 936, 982

1. What is the LCM of 630, 936, 982?

Answer: LCM of 630, 936, 982 is 16085160.

2. How to calculate the LCM of 630, 936, 982?

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 630, 936, 982.

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}.