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LCM of 577, 867, 105, 458, 966

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


Find the LCM of 577, 867, 105, 458, 966 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 577, 867, 105, 458, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,867,105,458,966

Given numbers are 577,867,105,458,966

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

The LCM of 577,867,105,458,966 is 184440490710.

Find LCM of 577,867,105,458,966 with Prime Factorization


2 577, 867, 105, 458, 966
3 577, 867, 105, 229, 483
7 577, 289, 35, 229, 161
577, 289, 5, 229, 23

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

2 x 3 x 7 x 577 x 289 x 5 x 229 x 23 = 184440490710

Therefore, the lowest common multiple of 577,867,105,458,966 is 184440490710.

LCM Formula to Find Lowest Common Multiple of 577,867,105,458,966

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.

577 x 867 x 105 x 458 x 966 = 23239501829460

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.

577 : 1, 577

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

105 : 1, 3, 5, 7, 15, 21, 35, 105

458 : 1, 2, 229, 458

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,867,105,458,966, is 1.

Now, the common factors can be found like this.

577:577

867:3x 17x 17

105:3x 5x 7

458:2x 229

966:2x 3x 7x 23

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

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 23239501829460/(1x126)

LCM = 23239501829460/126

LCM = 184440490710

Thus, we can understand that the LCM of 577,867,105,458,966 is 184440490710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 867, 105, 458, 966

1. What is the LCM of 577, 867, 105, 458, 966?

Answer: LCM of 577, 867, 105, 458, 966 is 184440490710.

2. How to calculate the LCM of 577, 867, 105, 458, 966?

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 577, 867, 105, 458, 966.

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}.