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LCM of 556, 683, 596, 218, 318

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


Find the LCM of 556, 683, 596, 218, 318 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, 683, 596, 218, 318. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 556,683,596,218,318

Given numbers are 556,683,596,218,318

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

The LCM of 556,683,596,218,318 is 980630475612.

Find LCM of 556,683,596,218,318 with Prime Factorization


2 556, 683, 596, 218, 318
2 278, 683, 298, 109, 159
139, 683, 149, 109, 159

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

2 x 2 x 139 x 683 x 149 x 109 x 159 = 980630475612

Therefore, the lowest common multiple of 556,683,596,218,318 is 980630475612.

LCM Formula to Find Lowest Common Multiple of 556,683,596,218,318

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 683 x 596 x 218 x 318 = 15690087609792

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

683 : 1, 683

596 : 1, 2, 4, 149, 298, 596

218 : 1, 2, 109, 218

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,683,596,218,318, is 1.

Now, the common factors can be found like this.

556:2x 2x 139

683:683

596:2x 2x 149

218:2x 109

318:2x 3x 53

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 2 = 16

Therefore, the value for common factors is 16.

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 = 15690087609792/(1x16)

LCM = 15690087609792/16

LCM = 980630475612

Thus, we can understand that the LCM of 556,683,596,218,318 is 980630475612.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 556, 683, 596, 218, 318

1. What is the LCM of 556, 683, 596, 218, 318?

Answer: LCM of 556, 683, 596, 218, 318 is 980630475612.

2. How to calculate the LCM of 556, 683, 596, 218, 318?

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, 683, 596, 218, 318.

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}.