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LCM of 556, 389, 140, 600

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


Find the LCM of 556, 389, 140, 600 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, 389, 140, 600. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 556,389,140,600

Given numbers are 556,389,140,600

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

The LCM of 556,389,140,600 is 227098200.

Find LCM of 556,389,140,600 with Prime Factorization


2 556, 389, 140, 600
2 278, 389, 70, 300
5 139, 389, 35, 150
139, 389, 7, 30

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

2 x 2 x 5 x 139 x 389 x 7 x 30 = 227098200

Therefore, the lowest common multiple of 556,389,140,600 is 227098200.

LCM Formula to Find Lowest Common Multiple of 556,389,140,600

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 389 x 140 x 600 = 18167856000

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

389 : 1, 389

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,389,140,600, is 1.

Now, the common factors can be found like this.

556:2x 2x 139

389:389

140:2x 2x 5x 7

600:2x 2x 2x 3x 5x 5

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

2x 2x 2x 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 18167856000/(1x80)

LCM = 18167856000/80

LCM = 227098200

Thus, we can understand that the LCM of 556,389,140,600 is 227098200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 556, 389, 140, 600

1. What is the LCM of 556, 389, 140, 600?

Answer: LCM of 556, 389, 140, 600 is 227098200.

2. How to calculate the LCM of 556, 389, 140, 600?

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, 389, 140, 600.

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}.