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LCM of 274, 274, 393, 718

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


Find the LCM of 274, 274, 393, 718 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, 274, 393, 718. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,274,393,718

Given numbers are 274,274,393,718

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

The LCM of 274,274,393,718 is 38657838.

Find LCM of 274,274,393,718 with Prime Factorization


2 274, 274, 393, 718
137 137, 137, 393, 359
1, 1, 393, 359

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

2 x 137 x 1 x 1 x 393 x 359 = 38657838

Therefore, the lowest common multiple of 274,274,393,718 is 38657838.

LCM Formula to Find Lowest Common Multiple of 274,274,393,718

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 274 x 393 x 718 = 21184495224

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

274 : 1, 2, 137, 274

393 : 1, 3, 131, 393

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,274,393,718, is 1.

Now, the common factors can be found like this.

274:2x 137

274:2x 137

393:3x 131

718:2x 359

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 137 = 548

Therefore, the value for common factors is 548.

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 = 21184495224/(1x548)

LCM = 21184495224/548

LCM = 38657838

Thus, we can understand that the LCM of 274,274,393,718 is 38657838.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 274, 393, 718

1. What is the LCM of 274, 274, 393, 718?

Answer: LCM of 274, 274, 393, 718 is 38657838.

2. How to calculate the LCM of 274, 274, 393, 718?

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, 274, 393, 718.

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}.