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LCM of 923, 676, 923, 241, 425

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


Find the LCM of 923, 676, 923, 241, 425 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 923, 676, 923, 241, 425. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 923,676,923,241,425

Given numbers are 923,676,923,241,425

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

The LCM of 923,676,923,241,425 is 4915990300.

Find LCM of 923,676,923,241,425 with Prime Factorization


13 923, 676, 923, 241, 425
71 71, 52, 71, 241, 425
1, 52, 1, 241, 425

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

13 x 71 x 1 x 52 x 1 x 241 x 425 = 4915990300

Therefore, the lowest common multiple of 923,676,923,241,425 is 4915990300.

LCM Formula to Find Lowest Common Multiple of 923,676,923,241,425

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.

923 x 676 x 923 x 241 x 425 = 58986967609700

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.

923 : 1, 13, 71, 923

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

923 : 1, 13, 71, 923

241 : 1, 241

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,676,923,241,425, is 1.

Now, the common factors can be found like this.

923:13x 71

676:2x 2x 13x 13

923:13x 71

241:241

425:5x 5x 17

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

13x 13x 71 = 11999

Therefore, the value for common factors is 11999.

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 = 58986967609700/(1x11999)

LCM = 58986967609700/11999

LCM = 4915990300

Thus, we can understand that the LCM of 923,676,923,241,425 is 4915990300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 923, 676, 923, 241, 425

1. What is the LCM of 923, 676, 923, 241, 425?

Answer: LCM of 923, 676, 923, 241, 425 is 4915990300.

2. How to calculate the LCM of 923, 676, 923, 241, 425?

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 923, 676, 923, 241, 425.

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}.