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LCM of 331, 274, 781, 786, 249

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


Find the LCM of 331, 274, 781, 786, 249 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 331, 274, 781, 786, 249. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,274,781,786,249

Given numbers are 331,274,781,786,249

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

The LCM of 331,274,781,786,249 is 2310469464666.

Find LCM of 331,274,781,786,249 with Prime Factorization


2 331, 274, 781, 786, 249
3 331, 137, 781, 393, 249
331, 137, 781, 131, 83

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

2 x 3 x 331 x 137 x 781 x 131 x 83 = 2310469464666

Therefore, the lowest common multiple of 331,274,781,786,249 is 2310469464666.

LCM Formula to Find Lowest Common Multiple of 331,274,781,786,249

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.

331 x 274 x 781 x 786 x 249 = 13862816787996

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.

331 : 1, 331

274 : 1, 2, 137, 274

781 : 1, 11, 71, 781

786 : 1, 2, 3, 6, 131, 262, 393, 786

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,274,781,786,249, is 1.

Now, the common factors can be found like this.

331:331

274:2x 137

781:11x 71

786:2x 3x 131

249:3x 83

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 13862816787996/(1x6)

LCM = 13862816787996/6

LCM = 2310469464666

Thus, we can understand that the LCM of 331,274,781,786,249 is 2310469464666.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 274, 781, 786, 249

1. What is the LCM of 331, 274, 781, 786, 249?

Answer: LCM of 331, 274, 781, 786, 249 is 2310469464666.

2. How to calculate the LCM of 331, 274, 781, 786, 249?

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 331, 274, 781, 786, 249.

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}.