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LCM of 921, 398, 179, 243, 967

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


Find the LCM of 921, 398, 179, 243, 967 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 921, 398, 179, 243, 967. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 921,398,179,243,967

Given numbers are 921,398,179,243,967

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

The LCM of 921,398,179,243,967 is 5139338535414.

Find LCM of 921,398,179,243,967 with Prime Factorization


3 921, 398, 179, 243, 967
307, 398, 179, 81, 967

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

3 x 307 x 398 x 179 x 81 x 967 = 5139338535414

Therefore, the lowest common multiple of 921,398,179,243,967 is 5139338535414.

LCM Formula to Find Lowest Common Multiple of 921,398,179,243,967

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.

921 x 398 x 179 x 243 x 967 = 15418015606242

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.

921 : 1, 3, 307, 921

398 : 1, 2, 199, 398

179 : 1, 179

243 : 1, 3, 9, 27, 81, 243

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,398,179,243,967, is 1.

Now, the common factors can be found like this.

921:3x 307

398:2x 199

179:179

243:3x 3x 3x 3x 3

967:967

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

3 = 3

Therefore, the value for common factors is 3.

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 = 15418015606242/(1x3)

LCM = 15418015606242/3

LCM = 5139338535414

Thus, we can understand that the LCM of 921,398,179,243,967 is 5139338535414.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 921, 398, 179, 243, 967

1. What is the LCM of 921, 398, 179, 243, 967?

Answer: LCM of 921, 398, 179, 243, 967 is 5139338535414.

2. How to calculate the LCM of 921, 398, 179, 243, 967?

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 921, 398, 179, 243, 967.

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}.