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LCM of 4316, 3950

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


Find the LCM of 4316, 3950 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 4316, 3950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4316,3950

Given numbers are 4316,3950

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

The LCM of 4316,3950 is 8524100.

Find LCM of 4316,3950 with Prime Factorization


2 4316, 3950
2158, 1975

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

2 x 2158 x 1975 = 8524100

Therefore, the lowest common multiple of 4316,3950 is 8524100.

LCM Formula to Find Lowest Common Multiple of 4316,3950

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.

4316 x 3950 = 17048200

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.

4316 : 1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316

3950 : 1, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975, 3950

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4316,3950, is 2.

Now, the common factors can be found like this.

4316:2x 2x 13x 83

3950:2x 5x 5x 79

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 = 17048200/(2x1)

LCM = 17048200/2

LCM = 8524100

Thus, we can understand that the LCM of 4316,3950 is 8524100.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4316, 3950

1. What is the LCM of 4316, 3950?

Answer: LCM of 4316, 3950 is 8524100.

2. How to calculate the LCM of 4316, 3950?

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 4316, 3950.

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}.