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LCM of 318, 781, 407, 911

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


Find the LCM of 318, 781, 407, 911 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 318, 781, 407, 911. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 318,781,407,911

Given numbers are 318,781,407,911

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

The LCM of 318,781,407,911 is 8371403106.

Find LCM of 318,781,407,911 with Prime Factorization


11 318, 781, 407, 911
318, 71, 37, 911

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

11 x 318 x 71 x 37 x 911 = 8371403106

Therefore, the lowest common multiple of 318,781,407,911 is 8371403106.

LCM Formula to Find Lowest Common Multiple of 318,781,407,911

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.

318 x 781 x 407 x 911 = 92085434166

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

781 : 1, 11, 71, 781

407 : 1, 11, 37, 407

911 : 1, 911

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,781,407,911, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

781:11x 71

407:11x 37

911:911

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

11 = 11

Therefore, the value for common factors is 11.

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 = 92085434166/(1x11)

LCM = 92085434166/11

LCM = 8371403106

Thus, we can understand that the LCM of 318,781,407,911 is 8371403106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 318, 781, 407, 911

1. What is the LCM of 318, 781, 407, 911?

Answer: LCM of 318, 781, 407, 911 is 8371403106.

2. How to calculate the LCM of 318, 781, 407, 911?

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 318, 781, 407, 911.

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}.