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LCM of 845, 904, 767, 646, 649

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


Find the LCM of 845, 904, 767, 646, 649 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 845, 904, 767, 646, 649. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,904,767,646,649

Given numbers are 845,904,767,646,649

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

The LCM of 845,904,767,646,649 is 160129872760.

Find LCM of 845,904,767,646,649 with Prime Factorization


2 845, 904, 767, 646, 649
13 845, 452, 767, 323, 649
59 65, 452, 59, 323, 649
65, 452, 1, 323, 11

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

2 x 13 x 59 x 65 x 452 x 1 x 323 x 11 = 160129872760

Therefore, the lowest common multiple of 845,904,767,646,649 is 160129872760.

LCM Formula to Find Lowest Common Multiple of 845,904,767,646,649

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.

845 x 904 x 767 x 646 x 649 = 245639224813840

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.

845 : 1, 5, 13, 65, 169, 845

904 : 1, 2, 4, 8, 113, 226, 452, 904

767 : 1, 13, 59, 767

646 : 1, 2, 17, 19, 34, 38, 323, 646

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,904,767,646,649, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

904:2x 2x 2x 113

767:13x 59

646:2x 17x 19

649:11x 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 13x 59 = 1534

Therefore, the value for common factors is 1534.

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 = 245639224813840/(1x1534)

LCM = 245639224813840/1534

LCM = 160129872760

Thus, we can understand that the LCM of 845,904,767,646,649 is 160129872760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 845, 904, 767, 646, 649

1. What is the LCM of 845, 904, 767, 646, 649?

Answer: LCM of 845, 904, 767, 646, 649 is 160129872760.

2. How to calculate the LCM of 845, 904, 767, 646, 649?

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 845, 904, 767, 646, 649.

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}.