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LCM of 815, 274, 621, 973, 137

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


Find the LCM of 815, 274, 621, 973, 137 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 815, 274, 621, 973, 137. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 815,274,621,973,137

Given numbers are 815,274,621,973,137

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

The LCM of 815,274,621,973,137 is 134931271230.

Find LCM of 815,274,621,973,137 with Prime Factorization


137 815, 274, 621, 973, 137
815, 2, 621, 973, 1

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

137 x 815 x 2 x 621 x 973 x 1 = 134931271230

Therefore, the lowest common multiple of 815,274,621,973,137 is 134931271230.

LCM Formula to Find Lowest Common Multiple of 815,274,621,973,137

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.

815 x 274 x 621 x 973 x 137 = 18485584158510

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.

815 : 1, 5, 163, 815

274 : 1, 2, 137, 274

621 : 1, 3, 9, 23, 27, 69, 207, 621

973 : 1, 7, 139, 973

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,274,621,973,137, is 1.

Now, the common factors can be found like this.

815:5x 163

274:2x 137

621:3x 3x 3x 23

973:7x 139

137:137

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

137 = 137

Therefore, the value for common factors is 137.

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 = 18485584158510/(1x137)

LCM = 18485584158510/137

LCM = 134931271230

Thus, we can understand that the LCM of 815,274,621,973,137 is 134931271230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 815, 274, 621, 973, 137

1. What is the LCM of 815, 274, 621, 973, 137?

Answer: LCM of 815, 274, 621, 973, 137 is 134931271230.

2. How to calculate the LCM of 815, 274, 621, 973, 137?

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 815, 274, 621, 973, 137.

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}.