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LCM of 949, 814, 889, 649, 517

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


Find the LCM of 949, 814, 889, 649, 517 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 949, 814, 889, 649, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,814,889,649,517

Given numbers are 949,814,889,649,517

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

The LCM of 949,814,889,649,517 is 1904330169742.

Find LCM of 949,814,889,649,517 with Prime Factorization


11 949, 814, 889, 649, 517
949, 74, 889, 59, 47

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

11 x 949 x 74 x 889 x 59 x 47 = 1904330169742

Therefore, the lowest common multiple of 949,814,889,649,517 is 1904330169742.

LCM Formula to Find Lowest Common Multiple of 949,814,889,649,517

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.

949 x 814 x 889 x 649 x 517 = 230423950538782

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.

949 : 1, 13, 73, 949

814 : 1, 2, 11, 22, 37, 74, 407, 814

889 : 1, 7, 127, 889

649 : 1, 11, 59, 649

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,814,889,649,517, is 1.

Now, the common factors can be found like this.

949:13x 73

814:2x 11x 37

889:7x 127

649:11x 59

517:11x 47

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 230423950538782/(1x121)

LCM = 230423950538782/121

LCM = 1904330169742

Thus, we can understand that the LCM of 949,814,889,649,517 is 1904330169742.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 814, 889, 649, 517

1. What is the LCM of 949, 814, 889, 649, 517?

Answer: LCM of 949, 814, 889, 649, 517 is 1904330169742.

2. How to calculate the LCM of 949, 814, 889, 649, 517?

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 949, 814, 889, 649, 517.

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}.