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LCM of 274, 970, 926, 582

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


Find the LCM of 274, 970, 926, 582 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 274, 970, 926, 582. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,970,926,582

Given numbers are 274,970,926,582

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

The LCM of 274,970,926,582 is 184584210.

Find LCM of 274,970,926,582 with Prime Factorization


2 274, 970, 926, 582
97 137, 485, 463, 291
137, 5, 463, 3

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

2 x 97 x 137 x 5 x 463 x 3 = 184584210

Therefore, the lowest common multiple of 274,970,926,582 is 184584210.

LCM Formula to Find Lowest Common Multiple of 274,970,926,582

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.

274 x 970 x 926 x 582 = 143237346960

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.

274 : 1, 2, 137, 274

970 : 1, 2, 5, 10, 97, 194, 485, 970

926 : 1, 2, 463, 926

582 : 1, 2, 3, 6, 97, 194, 291, 582

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,970,926,582, is 2.

Now, the common factors can be found like this.

274:2x 137

970:2x 5x 97

926:2x 463

582:2x 3x 97

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

2x 2x 97 = 388

Therefore, the value for common factors is 388.

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 = 143237346960/(2x388)

LCM = 143237346960/776

LCM = 184584210

Thus, we can understand that the LCM of 274,970,926,582 is 184584210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 970, 926, 582

1. What is the LCM of 274, 970, 926, 582?

Answer: LCM of 274, 970, 926, 582 is 184584210.

2. How to calculate the LCM of 274, 970, 926, 582?

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 274, 970, 926, 582.

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}.