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LCM of 989, 451, 250, 541, 614

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


Find the LCM of 989, 451, 250, 541, 614 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, 451, 250, 541, 614. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,451,250,541,614

Given numbers are 989,451,250,541,614

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

The LCM of 989,451,250,541,614 is 18520319848250.

Find LCM of 989,451,250,541,614 with Prime Factorization


2 989, 451, 250, 541, 614
989, 451, 125, 541, 307

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

2 x 989 x 451 x 125 x 541 x 307 = 18520319848250

Therefore, the lowest common multiple of 989,451,250,541,614 is 18520319848250.

LCM Formula to Find Lowest Common Multiple of 989,451,250,541,614

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 451 x 250 x 541 x 614 = 37040639696500

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

451 : 1, 11, 41, 451

250 : 1, 2, 5, 10, 25, 50, 125, 250

541 : 1, 541

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,451,250,541,614, is 1.

Now, the common factors can be found like this.

989:23x 43

451:11x 41

250:2x 5x 5x 5

541:541

614:2x 307

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

2 = 2

Therefore, the value for common factors is 2.

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 = 37040639696500/(1x2)

LCM = 37040639696500/2

LCM = 18520319848250

Thus, we can understand that the LCM of 989,451,250,541,614 is 18520319848250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 451, 250, 541, 614

1. What is the LCM of 989, 451, 250, 541, 614?

Answer: LCM of 989, 451, 250, 541, 614 is 18520319848250.

2. How to calculate the LCM of 989, 451, 250, 541, 614?

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, 451, 250, 541, 614.

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}.