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LCM of 989, 445, 989, 826

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


Find the LCM of 989, 445, 989, 826 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 989, 445, 989, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,445,989,826

Given numbers are 989,445,989,826

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

The LCM of 989,445,989,826 is 363526730.

Find LCM of 989,445,989,826 with Prime Factorization


23 989, 445, 989, 826
43 43, 445, 43, 826
1, 445, 1, 826

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

23 x 43 x 1 x 445 x 1 x 826 = 363526730

Therefore, the lowest common multiple of 989,445,989,826 is 363526730.

LCM Formula to Find Lowest Common Multiple of 989,445,989,826

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.

989 x 445 x 989 x 826 = 359527935970

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.

989 : 1, 23, 43, 989

445 : 1, 5, 89, 445

989 : 1, 23, 43, 989

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,445,989,826, is 1.

Now, the common factors can be found like this.

989:23x 43

445:5x 89

989:23x 43

826:2x 7x 59

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

23x 43 = 989

Therefore, the value for common factors is 989.

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 = 359527935970/(1x989)

LCM = 359527935970/989

LCM = 363526730

Thus, we can understand that the LCM of 989,445,989,826 is 363526730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 445, 989, 826

1. What is the LCM of 989, 445, 989, 826?

Answer: LCM of 989, 445, 989, 826 is 363526730.

2. How to calculate the LCM of 989, 445, 989, 826?

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 989, 445, 989, 826.

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}.