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LCM of 918, 589, 262, 551

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


Find the LCM of 918, 589, 262, 551 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 918, 589, 262, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 918,589,262,551

Given numbers are 918,589,262,551

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

The LCM of 918,589,262,551 is 2054126898.

Find LCM of 918,589,262,551 with Prime Factorization


2 918, 589, 262, 551
19 459, 589, 131, 551
459, 31, 131, 29

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

2 x 19 x 459 x 31 x 131 x 29 = 2054126898

Therefore, the lowest common multiple of 918,589,262,551 is 2054126898.

LCM Formula to Find Lowest Common Multiple of 918,589,262,551

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.

918 x 589 x 262 x 551 = 78056822124

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.

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

589 : 1, 19, 31, 589

262 : 1, 2, 131, 262

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,589,262,551, is 1.

Now, the common factors can be found like this.

918:2x 3x 3x 3x 17

589:19x 31

262:2x 131

551:19x 29

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 78056822124/(1x38)

LCM = 78056822124/38

LCM = 2054126898

Thus, we can understand that the LCM of 918,589,262,551 is 2054126898.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 918, 589, 262, 551

1. What is the LCM of 918, 589, 262, 551?

Answer: LCM of 918, 589, 262, 551 is 2054126898.

2. How to calculate the LCM of 918, 589, 262, 551?

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 918, 589, 262, 551.

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}.