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LCM of 523, 708, 867, 867

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


Find the LCM of 523, 708, 867, 867 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 523, 708, 867, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 523,708,867,867

Given numbers are 523,708,867,867

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

The LCM of 523,708,867,867 is 107012076.

Find LCM of 523,708,867,867 with Prime Factorization


3 523, 708, 867, 867
17 523, 236, 289, 289
17 523, 236, 17, 17
523, 236, 1, 1

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

3 x 17 x 17 x 523 x 236 x 1 x 1 = 107012076

Therefore, the lowest common multiple of 523,708,867,867 is 107012076.

LCM Formula to Find Lowest Common Multiple of 523,708,867,867

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.

523 x 708 x 867 x 867 = 278338409676

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.

523 : 1, 523

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

867 : 1, 3, 17, 51, 289, 867

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,708,867,867, is 1.

Now, the common factors can be found like this.

523:523

708:2x 2x 3x 59

867:3x 17x 17

867:3x 17x 17

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

3x 3x 17x 17 = 2601

Therefore, the value for common factors is 2601.

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 = 278338409676/(1x2601)

LCM = 278338409676/2601

LCM = 107012076

Thus, we can understand that the LCM of 523,708,867,867 is 107012076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 523, 708, 867, 867

1. What is the LCM of 523, 708, 867, 867?

Answer: LCM of 523, 708, 867, 867 is 107012076.

2. How to calculate the LCM of 523, 708, 867, 867?

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 523, 708, 867, 867.

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}.