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LCM of 979, 432, 923, 958, 491

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


Find the LCM of 979, 432, 923, 958, 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 979, 432, 923, 958, 491. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,432,923,958,491

Given numbers are 979,432,923,958,491

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

The LCM of 979,432,923,958,491 is 91808976360816.

Find LCM of 979,432,923,958,491 with Prime Factorization


2 979, 432, 923, 958, 491
979, 216, 923, 479, 491

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

2 x 979 x 216 x 923 x 479 x 491 = 91808976360816

Therefore, the lowest common multiple of 979,432,923,958,491 is 91808976360816.

LCM Formula to Find Lowest Common Multiple of 979,432,923,958,491

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.

979 x 432 x 923 x 958 x 491 = 183617952721632

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.

979 : 1, 11, 89, 979

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

923 : 1, 13, 71, 923

958 : 1, 2, 479, 958

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,432,923,958,491, is 1.

Now, the common factors can be found like this.

979:11x 89

432:2x 2x 2x 2x 3x 3x 3

923:13x 71

958:2x 479

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 = 183617952721632/(1x2)

LCM = 183617952721632/2

LCM = 91808976360816

Thus, we can understand that the LCM of 979,432,923,958,491 is 91808976360816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 432, 923, 958, 491

1. What is the LCM of 979, 432, 923, 958, 491?

Answer: LCM of 979, 432, 923, 958, 491 is 91808976360816.

2. How to calculate the LCM of 979, 432, 923, 958, 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 979, 432, 923, 958, 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}.