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LCM of 982, 491, 732, 261, 402

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


Find the LCM of 982, 491, 732, 261, 402 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 982, 491, 732, 261, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 982,491,732,261,402

Given numbers are 982,491,732,261,402

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

The LCM of 982,491,732,261,402 is 2095012548.

Find LCM of 982,491,732,261,402 with Prime Factorization


2 982, 491, 732, 261, 402
3 491, 491, 366, 261, 201
491 491, 491, 122, 87, 67
1, 1, 122, 87, 67

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

2 x 3 x 491 x 1 x 1 x 122 x 87 x 67 = 2095012548

Therefore, the lowest common multiple of 982,491,732,261,402 is 2095012548.

LCM Formula to Find Lowest Common Multiple of 982,491,732,261,402

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.

982 x 491 x 732 x 261 x 402 = 37031441798448

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.

982 : 1, 2, 491, 982

491 : 1, 491

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

261 : 1, 3, 9, 29, 87, 261

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,491,732,261,402, is 1.

Now, the common factors can be found like this.

982:2x 491

491:491

732:2x 2x 3x 61

261:3x 3x 29

402:2x 3x 67

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 3x 3x 491 = 17676

Therefore, the value for common factors is 17676.

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 = 37031441798448/(1x17676)

LCM = 37031441798448/17676

LCM = 2095012548

Thus, we can understand that the LCM of 982,491,732,261,402 is 2095012548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 982, 491, 732, 261, 402

1. What is the LCM of 982, 491, 732, 261, 402?

Answer: LCM of 982, 491, 732, 261, 402 is 2095012548.

2. How to calculate the LCM of 982, 491, 732, 261, 402?

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 982, 491, 732, 261, 402.

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}.