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LCM of 235, 916, 247, 846, 516

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


Find the LCM of 235, 916, 247, 846, 516 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 235, 916, 247, 846, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 235,916,247,846,516

Given numbers are 235,916,247,846,516

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

The LCM of 235,916,247,846,516 is 20576488140.

Find LCM of 235,916,247,846,516 with Prime Factorization


2 235, 916, 247, 846, 516
2 235, 458, 247, 423, 258
3 235, 229, 247, 423, 129
47 235, 229, 247, 141, 43
5, 229, 247, 3, 43

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

2 x 2 x 3 x 47 x 5 x 229 x 247 x 3 x 43 = 20576488140

Therefore, the lowest common multiple of 235,916,247,846,516 is 20576488140.

LCM Formula to Find Lowest Common Multiple of 235,916,247,846,516

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.

235 x 916 x 247 x 846 x 516 = 23210278621920

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.

235 : 1, 5, 47, 235

916 : 1, 2, 4, 229, 458, 916

247 : 1, 13, 19, 247

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,916,247,846,516, is 1.

Now, the common factors can be found like this.

235:5x 47

916:2x 2x 229

247:13x 19

846:2x 3x 3x 47

516:2x 2x 3x 43

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 3x 47 = 1128

Therefore, the value for common factors is 1128.

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 = 23210278621920/(1x1128)

LCM = 23210278621920/1128

LCM = 20576488140

Thus, we can understand that the LCM of 235,916,247,846,516 is 20576488140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 235, 916, 247, 846, 516

1. What is the LCM of 235, 916, 247, 846, 516?

Answer: LCM of 235, 916, 247, 846, 516 is 20576488140.

2. How to calculate the LCM of 235, 916, 247, 846, 516?

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 235, 916, 247, 846, 516.

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}.