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LCM of 391, 957, 713, 868

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


Find the LCM of 391, 957, 713, 868 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 391, 957, 713, 868. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,957,713,868

Given numbers are 391,957,713,868

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

The LCM of 391,957,713,868 is 324794316.

Find LCM of 391,957,713,868 with Prime Factorization


23 391, 957, 713, 868
31 17, 957, 31, 868
17, 957, 1, 28

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

23 x 31 x 17 x 957 x 1 x 28 = 324794316

Therefore, the lowest common multiple of 391,957,713,868 is 324794316.

LCM Formula to Find Lowest Common Multiple of 391,957,713,868

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.

391 x 957 x 713 x 868 = 231578347308

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.

391 : 1, 17, 23, 391

957 : 1, 3, 11, 29, 33, 87, 319, 957

713 : 1, 23, 31, 713

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,957,713,868, is 1.

Now, the common factors can be found like this.

391:17x 23

957:3x 11x 29

713:23x 31

868:2x 2x 7x 31

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

23x 31 = 713

Therefore, the value for common factors is 713.

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 = 231578347308/(1x713)

LCM = 231578347308/713

LCM = 324794316

Thus, we can understand that the LCM of 391,957,713,868 is 324794316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 957, 713, 868

1. What is the LCM of 391, 957, 713, 868?

Answer: LCM of 391, 957, 713, 868 is 324794316.

2. How to calculate the LCM of 391, 957, 713, 868?

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 391, 957, 713, 868.

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}.