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LCM of 740, 185, 815, 287

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


Find the LCM of 740, 185, 815, 287 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 740, 185, 815, 287. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 740,185,815,287

Given numbers are 740,185,815,287

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

The LCM of 740,185,815,287 is 34617940.

Find LCM of 740,185,815,287 with Prime Factorization


5 740, 185, 815, 287
37 148, 37, 163, 287
4, 1, 163, 287

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

5 x 37 x 4 x 1 x 163 x 287 = 34617940

Therefore, the lowest common multiple of 740,185,815,287 is 34617940.

LCM Formula to Find Lowest Common Multiple of 740,185,815,287

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.

740 x 185 x 815 x 287 = 32021594500

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

185 : 1, 5, 37, 185

815 : 1, 5, 163, 815

287 : 1, 7, 41, 287

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,185,815,287, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

185:5x 37

815:5x 163

287:7x 41

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

5x 5x 37 = 925

Therefore, the value for common factors is 925.

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 = 32021594500/(1x925)

LCM = 32021594500/925

LCM = 34617940

Thus, we can understand that the LCM of 740,185,815,287 is 34617940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 740, 185, 815, 287

1. What is the LCM of 740, 185, 815, 287?

Answer: LCM of 740, 185, 815, 287 is 34617940.

2. How to calculate the LCM of 740, 185, 815, 287?

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 740, 185, 815, 287.

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}.