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LCM of 614, 275, 274, 431

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


Find the LCM of 614, 275, 274, 431 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 614, 275, 274, 431. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 614,275,274,431

Given numbers are 614,275,274,431

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

The LCM of 614,275,274,431 is 9970085950.

Find LCM of 614,275,274,431 with Prime Factorization


2 614, 275, 274, 431
307, 275, 137, 431

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

2 x 307 x 275 x 137 x 431 = 9970085950

Therefore, the lowest common multiple of 614,275,274,431 is 9970085950.

LCM Formula to Find Lowest Common Multiple of 614,275,274,431

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.

614 x 275 x 274 x 431 = 19940171900

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.

614 : 1, 2, 307, 614

275 : 1, 5, 11, 25, 55, 275

274 : 1, 2, 137, 274

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,275,274,431, is 1.

Now, the common factors can be found like this.

614:2x 307

275:5x 5x 11

274:2x 137

431:431

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

2 = 2

Therefore, the value for common factors is 2.

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 = 19940171900/(1x2)

LCM = 19940171900/2

LCM = 9970085950

Thus, we can understand that the LCM of 614,275,274,431 is 9970085950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 614, 275, 274, 431

1. What is the LCM of 614, 275, 274, 431?

Answer: LCM of 614, 275, 274, 431 is 9970085950.

2. How to calculate the LCM of 614, 275, 274, 431?

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 614, 275, 274, 431.

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}.