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LCM of 781, 923, 717, 57

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


Find the LCM of 781, 923, 717, 57 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, 923, 717, 57. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,923,717,57

Given numbers are 781,923,717,57

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

The LCM of 781,923,717,57 is 138314319.

Find LCM of 781,923,717,57 with Prime Factorization


3 781, 923, 717, 57
71 781, 923, 239, 19
11, 13, 239, 19

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

3 x 71 x 11 x 13 x 239 x 19 = 138314319

Therefore, the lowest common multiple of 781,923,717,57 is 138314319.

LCM Formula to Find Lowest Common Multiple of 781,923,717,57

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 923 x 717 x 57 = 29460949947

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

923 : 1, 13, 71, 923

717 : 1, 3, 239, 717

57 : 1, 3, 19, 57

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,923,717,57, is 1.

Now, the common factors can be found like this.

781:11x 71

923:13x 71

717:3x 239

57:3x 19

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

3x 71 = 213

Therefore, the value for common factors is 213.

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 = 29460949947/(1x213)

LCM = 29460949947/213

LCM = 138314319

Thus, we can understand that the LCM of 781,923,717,57 is 138314319.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 923, 717, 57

1. What is the LCM of 781, 923, 717, 57?

Answer: LCM of 781, 923, 717, 57 is 138314319.

2. How to calculate the LCM of 781, 923, 717, 57?

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, 923, 717, 57.

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}.