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LCM of 938, 341, 410, 614, 196

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


Find the LCM of 938, 341, 410, 614, 196 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 938, 341, 410, 614, 196. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 938,341,410,614,196

Given numbers are 938,341,410,614,196

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

The LCM of 938,341,410,614,196 is 281823685220.

Find LCM of 938,341,410,614,196 with Prime Factorization


2 938, 341, 410, 614, 196
7 469, 341, 205, 307, 98
67, 341, 205, 307, 14

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

2 x 7 x 67 x 341 x 205 x 307 x 14 = 281823685220

Therefore, the lowest common multiple of 938,341,410,614,196 is 281823685220.

LCM Formula to Find Lowest Common Multiple of 938,341,410,614,196

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.

938 x 341 x 410 x 614 x 196 = 15782126372320

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.

938 : 1, 2, 7, 14, 67, 134, 469, 938

341 : 1, 11, 31, 341

410 : 1, 2, 5, 10, 41, 82, 205, 410

614 : 1, 2, 307, 614

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,341,410,614,196, is 1.

Now, the common factors can be found like this.

938:2x 7x 67

341:11x 31

410:2x 5x 41

614:2x 307

196:2x 2x 7x 7

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

2x 2x 2x 7 = 56

Therefore, the value for common factors is 56.

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 = 15782126372320/(1x56)

LCM = 15782126372320/56

LCM = 281823685220

Thus, we can understand that the LCM of 938,341,410,614,196 is 281823685220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 938, 341, 410, 614, 196

1. What is the LCM of 938, 341, 410, 614, 196?

Answer: LCM of 938, 341, 410, 614, 196 is 281823685220.

2. How to calculate the LCM of 938, 341, 410, 614, 196?

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 938, 341, 410, 614, 196.

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}.