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LCM of 556, 959, 879, 959, 875

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


Find the LCM of 556, 959, 879, 959, 875 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 556, 959, 879, 959, 875. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 556,959,879,959,875

Given numbers are 556,959,879,959,875

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

The LCM of 556,959,879,959,875 is 58585789500.

Find LCM of 556,959,879,959,875 with Prime Factorization


7 556, 959, 879, 959, 875
137 556, 137, 879, 137, 125
556, 1, 879, 1, 125

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

7 x 137 x 556 x 1 x 879 x 1 x 125 = 58585789500

Therefore, the lowest common multiple of 556,959,879,959,875 is 58585789500.

LCM Formula to Find Lowest Common Multiple of 556,959,879,959,875

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.

556 x 959 x 879 x 959 x 875 = 393286404913500

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.

556 : 1, 2, 4, 139, 278, 556

959 : 1, 7, 137, 959

879 : 1, 3, 293, 879

959 : 1, 7, 137, 959

875 : 1, 5, 7, 25, 35, 125, 175, 875

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,959,879,959,875, is 1.

Now, the common factors can be found like this.

556:2x 2x 139

959:7x 137

879:3x 293

959:7x 137

875:5x 5x 5x 7

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

7x 7x 137 = 6713

Therefore, the value for common factors is 6713.

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 = 393286404913500/(1x6713)

LCM = 393286404913500/6713

LCM = 58585789500

Thus, we can understand that the LCM of 556,959,879,959,875 is 58585789500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 556, 959, 879, 959, 875

1. What is the LCM of 556, 959, 879, 959, 875?

Answer: LCM of 556, 959, 879, 959, 875 is 58585789500.

2. How to calculate the LCM of 556, 959, 879, 959, 875?

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 556, 959, 879, 959, 875.

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}.