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LCM of 883, 676, 988, 712

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


Find the LCM of 883, 676, 988, 712 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 883, 676, 988, 712. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 883,676,988,712

Given numbers are 883,676,988,712

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

The LCM of 883,676,988,712 is 2018742856.

Find LCM of 883,676,988,712 with Prime Factorization


2 883, 676, 988, 712
2 883, 338, 494, 356
13 883, 169, 247, 178
883, 13, 19, 178

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

2 x 2 x 13 x 883 x 13 x 19 x 178 = 2018742856

Therefore, the lowest common multiple of 883,676,988,712 is 2018742856.

LCM Formula to Find Lowest Common Multiple of 883,676,988,712

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.

883 x 676 x 988 x 712 = 419898514048

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.

883 : 1, 883

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,676,988,712, is 1.

Now, the common factors can be found like this.

883:883

676:2x 2x 13x 13

988:2x 2x 13x 19

712:2x 2x 2x 89

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 13 = 208

Therefore, the value for common factors is 208.

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 = 419898514048/(1x208)

LCM = 419898514048/208

LCM = 2018742856

Thus, we can understand that the LCM of 883,676,988,712 is 2018742856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 883, 676, 988, 712

1. What is the LCM of 883, 676, 988, 712?

Answer: LCM of 883, 676, 988, 712 is 2018742856.

2. How to calculate the LCM of 883, 676, 988, 712?

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 883, 676, 988, 712.

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}.