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LCM of 781, 909, 788, 514

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


Find the LCM of 781, 909, 788, 514 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 781, 909, 788, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,909,788,514

Given numbers are 781,909,788,514

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

The LCM of 781,909,788,514 is 143771981364.

Find LCM of 781,909,788,514 with Prime Factorization


2 781, 909, 788, 514
781, 909, 394, 257

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

2 x 781 x 909 x 394 x 257 = 143771981364

Therefore, the lowest common multiple of 781,909,788,514 is 143771981364.

LCM Formula to Find Lowest Common Multiple of 781,909,788,514

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.

781 x 909 x 788 x 514 = 287543962728

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.

781 : 1, 11, 71, 781

909 : 1, 3, 9, 101, 303, 909

788 : 1, 2, 4, 197, 394, 788

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,909,788,514, is 1.

Now, the common factors can be found like this.

781:11x 71

909:3x 3x 101

788:2x 2x 197

514:2x 257

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 = 287543962728/(1x2)

LCM = 287543962728/2

LCM = 143771981364

Thus, we can understand that the LCM of 781,909,788,514 is 143771981364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 909, 788, 514

1. What is the LCM of 781, 909, 788, 514?

Answer: LCM of 781, 909, 788, 514 is 143771981364.

2. How to calculate the LCM of 781, 909, 788, 514?

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 781, 909, 788, 514.

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}.