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LCM of 878, 817, 925, 714

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


Find the LCM of 878, 817, 925, 714 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 878, 817, 925, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 878,817,925,714

Given numbers are 878,817,925,714

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

The LCM of 878,817,925,714 is 236878978350.

Find LCM of 878,817,925,714 with Prime Factorization


2 878, 817, 925, 714
439, 817, 925, 357

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

2 x 439 x 817 x 925 x 357 = 236878978350

Therefore, the lowest common multiple of 878,817,925,714 is 236878978350.

LCM Formula to Find Lowest Common Multiple of 878,817,925,714

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.

878 x 817 x 925 x 714 = 473757956700

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.

878 : 1, 2, 439, 878

817 : 1, 19, 43, 817

925 : 1, 5, 25, 37, 185, 925

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,817,925,714, is 1.

Now, the common factors can be found like this.

878:2x 439

817:19x 43

925:5x 5x 37

714:2x 3x 7x 17

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 = 473757956700/(1x2)

LCM = 473757956700/2

LCM = 236878978350

Thus, we can understand that the LCM of 878,817,925,714 is 236878978350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 878, 817, 925, 714

1. What is the LCM of 878, 817, 925, 714?

Answer: LCM of 878, 817, 925, 714 is 236878978350.

2. How to calculate the LCM of 878, 817, 925, 714?

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 878, 817, 925, 714.

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}.