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LCM of 349, 711, 241, 984, 897

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


Find the LCM of 349, 711, 241, 984, 897 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 349, 711, 241, 984, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 349,711,241,984,897

Given numbers are 349,711,241,984,897

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

The LCM of 349,711,241,984,897 is 5864852609928.

Find LCM of 349,711,241,984,897 with Prime Factorization


3 349, 711, 241, 984, 897
349, 237, 241, 328, 299

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

3 x 349 x 237 x 241 x 328 x 299 = 5864852609928

Therefore, the lowest common multiple of 349,711,241,984,897 is 5864852609928.

LCM Formula to Find Lowest Common Multiple of 349,711,241,984,897

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.

349 x 711 x 241 x 984 x 897 = 52783673489352

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.

349 : 1, 349

711 : 1, 3, 9, 79, 237, 711

241 : 1, 241

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,711,241,984,897, is 1.

Now, the common factors can be found like this.

349:349

711:3x 3x 79

241:241

984:2x 2x 2x 3x 41

897:3x 13x 23

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 52783673489352/(1x9)

LCM = 52783673489352/9

LCM = 5864852609928

Thus, we can understand that the LCM of 349,711,241,984,897 is 5864852609928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 349, 711, 241, 984, 897

1. What is the LCM of 349, 711, 241, 984, 897?

Answer: LCM of 349, 711, 241, 984, 897 is 5864852609928.

2. How to calculate the LCM of 349, 711, 241, 984, 897?

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 349, 711, 241, 984, 897.

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}.