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LCM of 577, 466, 956, 491

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


Find the LCM of 577, 466, 956, 491 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, 466, 956, 491. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,466,956,491

Given numbers are 577,466,956,491

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

The LCM of 577,466,956,491 is 63106067636.

Find LCM of 577,466,956,491 with Prime Factorization


2 577, 466, 956, 491
577, 233, 478, 491

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

2 x 577 x 233 x 478 x 491 = 63106067636

Therefore, the lowest common multiple of 577,466,956,491 is 63106067636.

LCM Formula to Find Lowest Common Multiple of 577,466,956,491

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 466 x 956 x 491 = 126212135272

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

466 : 1, 2, 233, 466

956 : 1, 2, 4, 239, 478, 956

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,466,956,491, is 1.

Now, the common factors can be found like this.

577:577

466:2x 233

956:2x 2x 239

491:491

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

2 = 2

Therefore, the value for common factors is 2.

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 = 126212135272/(1x2)

LCM = 126212135272/2

LCM = 63106067636

Thus, we can understand that the LCM of 577,466,956,491 is 63106067636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 466, 956, 491

1. What is the LCM of 577, 466, 956, 491?

Answer: LCM of 577, 466, 956, 491 is 63106067636.

2. How to calculate the LCM of 577, 466, 956, 491?

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, 466, 956, 491.

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}.