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LCM of 211, 737, 341, 304

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


Find the LCM of 211, 737, 341, 304 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 211, 737, 341, 304. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 211,737,341,304

Given numbers are 211,737,341,304

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

The LCM of 211,737,341,304 is 1465497968.

Find LCM of 211,737,341,304 with Prime Factorization


11 211, 737, 341, 304
211, 67, 31, 304

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

11 x 211 x 67 x 31 x 304 = 1465497968

Therefore, the lowest common multiple of 211,737,341,304 is 1465497968.

LCM Formula to Find Lowest Common Multiple of 211,737,341,304

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.

211 x 737 x 341 x 304 = 16120477648

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.

211 : 1, 211

737 : 1, 11, 67, 737

341 : 1, 11, 31, 341

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,737,341,304, is 1.

Now, the common factors can be found like this.

211:211

737:11x 67

341:11x 31

304:2x 2x 2x 2x 19

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

11 = 11

Therefore, the value for common factors is 11.

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 = 16120477648/(1x11)

LCM = 16120477648/11

LCM = 1465497968

Thus, we can understand that the LCM of 211,737,341,304 is 1465497968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 211, 737, 341, 304

1. What is the LCM of 211, 737, 341, 304?

Answer: LCM of 211, 737, 341, 304 is 1465497968.

2. How to calculate the LCM of 211, 737, 341, 304?

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 211, 737, 341, 304.

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}.