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LCM of 41, 96, 48, 41, 871

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


Find the LCM of 41, 96, 48, 41, 871 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 41, 96, 48, 41, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 41,96,48,41,871

Given numbers are 41,96,48,41,871

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

The LCM of 41,96,48,41,871 is 3428256.

Find LCM of 41,96,48,41,871 with Prime Factorization


2 41, 96, 48, 41, 871
2 41, 48, 24, 41, 871
2 41, 12, 24, 41, 871
2 41, 6, 12, 41, 871
3 41, 3, 6, 41, 871
41 41, 1, 2, 41, 871
1, 1, 2, 1, 871

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

2 x 2 x 2 x 2 x 3 x 41 x 1 x 1 x 2 x 1 x 871 = 3428256

Therefore, the lowest common multiple of 41,96,48,41,871 is 3428256.

LCM Formula to Find Lowest Common Multiple of 41,96,48,41,871

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.

41 x 96 x 48 x 41 x 871 = 6746807808

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.

41 : 1, 41

96 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

41 : 1, 41

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 41,96,48,41,871, is 1.

Now, the common factors can be found like this.

41:41

96:2x 2x 2x 2x 2x 3

48:2x 2x 2x 2x 3

41:41

871:13x 67

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 2x 3x 41 = 1968

Therefore, the value for common factors is 1968.

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 = 6746807808/(1x1968)

LCM = 6746807808/1968

LCM = 3428256

Thus, we can understand that the LCM of 41,96,48,41,871 is 3428256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 41, 96, 48, 41, 871

1. What is the LCM of 41, 96, 48, 41, 871?

Answer: LCM of 41, 96, 48, 41, 871 is 3428256.

2. How to calculate the LCM of 41, 96, 48, 41, 871?

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 41, 96, 48, 41, 871.

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}.