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LCM of 781, 142, 539

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


Find the LCM of 781, 142, 539 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, 142, 539. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,142,539

Given numbers are 781,142,539

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

The LCM of 781,142,539 is 76538.

Find LCM of 781,142,539 with Prime Factorization


11 781, 142, 539
71 71, 142, 49
1, 2, 49

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

11 x 71 x 1 x 2 x 49 = 76538

Therefore, the lowest common multiple of 781,142,539 is 76538.

LCM Formula to Find Lowest Common Multiple of 781,142,539

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 142 x 539 = 59776178

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

142 : 1, 2, 71, 142

539 : 1, 7, 11, 49, 77, 539

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,142,539, is 1.

Now, the common factors can be found like this.

781:11x 71

142:2x 71

539:7x 7x 11

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

11x 71 = 781

Therefore, the value for common factors is 781.

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 = 59776178/(1x781)

LCM = 59776178/781

LCM = 76538

Thus, we can understand that the LCM of 781,142,539 is 76538.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 781, 142, 539

1. What is the LCM of 781, 142, 539?

Answer: LCM of 781, 142, 539 is 76538.

2. How to calculate the LCM of 781, 142, 539?

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, 142, 539.

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}.