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LCM of 396, 771, 501, 781

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


Find the LCM of 396, 771, 501, 781 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 396, 771, 501, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 396,771,501,781

Given numbers are 396,771,501,781

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

The LCM of 396,771,501,781 is 1206710604.

Find LCM of 396,771,501,781 with Prime Factorization


3 396, 771, 501, 781
11 132, 257, 167, 781
12, 257, 167, 71

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

3 x 11 x 12 x 257 x 167 x 71 = 1206710604

Therefore, the lowest common multiple of 396,771,501,781 is 1206710604.

LCM Formula to Find Lowest Common Multiple of 396,771,501,781

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.

396 x 771 x 501 x 781 = 119464349796

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

771 : 1, 3, 257, 771

501 : 1, 3, 167, 501

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,771,501,781, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

771:3x 257

501:3x 167

781:11x 71

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

3x 3x 11 = 99

Therefore, the value for common factors is 99.

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 = 119464349796/(1x99)

LCM = 119464349796/99

LCM = 1206710604

Thus, we can understand that the LCM of 396,771,501,781 is 1206710604.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 396, 771, 501, 781

1. What is the LCM of 396, 771, 501, 781?

Answer: LCM of 396, 771, 501, 781 is 1206710604.

2. How to calculate the LCM of 396, 771, 501, 781?

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 396, 771, 501, 781.

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}.