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LCM of 277, 988, 598, 916

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


Find the LCM of 277, 988, 598, 916 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 277, 988, 598, 916. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 277,988,598,916

Given numbers are 277,988,598,916

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

The LCM of 277,988,598,916 is 1441451492.

Find LCM of 277,988,598,916 with Prime Factorization


2 277, 988, 598, 916
2 277, 494, 299, 458
13 277, 247, 299, 229
277, 19, 23, 229

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

2 x 2 x 13 x 277 x 19 x 23 x 229 = 1441451492

Therefore, the lowest common multiple of 277,988,598,916 is 1441451492.

LCM Formula to Find Lowest Common Multiple of 277,988,598,916

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.

277 x 988 x 598 x 916 = 149910955168

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.

277 : 1, 277

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

598 : 1, 2, 13, 23, 26, 46, 299, 598

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,988,598,916, is 1.

Now, the common factors can be found like this.

277:277

988:2x 2x 13x 19

598:2x 13x 23

916:2x 2x 229

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 13 = 104

Therefore, the value for common factors is 104.

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 = 149910955168/(1x104)

LCM = 149910955168/104

LCM = 1441451492

Thus, we can understand that the LCM of 277,988,598,916 is 1441451492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 277, 988, 598, 916

1. What is the LCM of 277, 988, 598, 916?

Answer: LCM of 277, 988, 598, 916 is 1441451492.

2. How to calculate the LCM of 277, 988, 598, 916?

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 277, 988, 598, 916.

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}.