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LCM of 3136, 4154

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


Find the LCM of 3136, 4154 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 3136, 4154. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3136,4154

Given numbers are 3136,4154

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

The LCM of 3136,4154 is 6513472.

Find LCM of 3136,4154 with Prime Factorization


2 3136, 4154
1568, 2077

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

2 x 1568 x 2077 = 6513472

Therefore, the lowest common multiple of 3136,4154 is 6513472.

LCM Formula to Find Lowest Common Multiple of 3136,4154

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.

3136 x 4154 = 13026944

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.

3136 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136

4154 : 1, 2, 31, 62, 67, 134, 2077, 4154

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3136,4154, is 2.

Now, the common factors can be found like this.

3136:2x 2x 2x 2x 2x 2x 7x 7

4154:2x 31x 67

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

= 1

Therefore, the value for common factors is 1.

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 = 13026944/(2x1)

LCM = 13026944/2

LCM = 6513472

Thus, we can understand that the LCM of 3136,4154 is 6513472.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3136, 4154

1. What is the LCM of 3136, 4154?

Answer: LCM of 3136, 4154 is 6513472.

2. How to calculate the LCM of 3136, 4154?

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 3136, 4154.

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}.