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LCM of 982, 669, 454, 472

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


Find the LCM of 982, 669, 454, 472 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, 669, 454, 472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 982,669,454,472

Given numbers are 982,669,454,472

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

The LCM of 982,669,454,472 is 35194553976.

Find LCM of 982,669,454,472 with Prime Factorization


2 982, 669, 454, 472
491, 669, 227, 236

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

2 x 491 x 669 x 227 x 236 = 35194553976

Therefore, the lowest common multiple of 982,669,454,472 is 35194553976.

LCM Formula to Find Lowest Common Multiple of 982,669,454,472

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 669 x 454 x 472 = 140778215904

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

669 : 1, 3, 223, 669

454 : 1, 2, 227, 454

472 : 1, 2, 4, 8, 59, 118, 236, 472

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,669,454,472, is 1.

Now, the common factors can be found like this.

982:2x 491

669:3x 223

454:2x 227

472:2x 2x 2x 59

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 140778215904/(1x4)

LCM = 140778215904/4

LCM = 35194553976

Thus, we can understand that the LCM of 982,669,454,472 is 35194553976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 982, 669, 454, 472

1. What is the LCM of 982, 669, 454, 472?

Answer: LCM of 982, 669, 454, 472 is 35194553976.

2. How to calculate the LCM of 982, 669, 454, 472?

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, 669, 454, 472.

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}.