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LCM of 890, 445, 647, 185, 760

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


Find the LCM of 890, 445, 647, 185, 760 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 890, 445, 647, 185, 760. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 890,445,647,185,760

Given numbers are 890,445,647,185,760

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

The LCM of 890,445,647,185,760 is 1619233960.

Find LCM of 890,445,647,185,760 with Prime Factorization


2 890, 445, 647, 185, 760
5 445, 445, 647, 185, 380
89 89, 89, 647, 37, 76
1, 1, 647, 37, 76

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

2 x 5 x 89 x 1 x 1 x 647 x 37 x 76 = 1619233960

Therefore, the lowest common multiple of 890,445,647,185,760 is 1619233960.

LCM Formula to Find Lowest Common Multiple of 890,445,647,185,760

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.

890 x 445 x 647 x 185 x 760 = 36027955610000

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

445 : 1, 5, 89, 445

647 : 1, 647

185 : 1, 5, 37, 185

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,445,647,185,760, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

445:5x 89

647:647

185:5x 37

760:2x 2x 2x 5x 19

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

2x 5x 5x 5x 89 = 22250

Therefore, the value for common factors is 22250.

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 = 36027955610000/(1x22250)

LCM = 36027955610000/22250

LCM = 1619233960

Thus, we can understand that the LCM of 890,445,647,185,760 is 1619233960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 890, 445, 647, 185, 760

1. What is the LCM of 890, 445, 647, 185, 760?

Answer: LCM of 890, 445, 647, 185, 760 is 1619233960.

2. How to calculate the LCM of 890, 445, 647, 185, 760?

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 890, 445, 647, 185, 760.

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}.