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LCM of 935, 650, 234, 287

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


Find the LCM of 935, 650, 234, 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 935, 650, 234, 287. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,650,234,287

Given numbers are 935,650,234,287

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

The LCM of 935,650,234,287 is 313963650.

Find LCM of 935,650,234,287 with Prime Factorization


2 935, 650, 234, 287
5 935, 325, 117, 287
13 187, 65, 117, 287
187, 5, 9, 287

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

2 x 5 x 13 x 187 x 5 x 9 x 287 = 313963650

Therefore, the lowest common multiple of 935,650,234,287 is 313963650.

LCM Formula to Find Lowest Common Multiple of 935,650,234,287

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.

935 x 650 x 234 x 287 = 40815274500

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

287 : 1, 7, 41, 287

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,650,234,287, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

650:2x 5x 5x 13

234:2x 3x 3x 13

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.

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 40815274500/(1x130)

LCM = 40815274500/130

LCM = 313963650

Thus, we can understand that the LCM of 935,650,234,287 is 313963650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 650, 234, 287

1. What is the LCM of 935, 650, 234, 287?

Answer: LCM of 935, 650, 234, 287 is 313963650.

2. How to calculate the LCM of 935, 650, 234, 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 935, 650, 234, 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}.