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LCM of 935, 991, 302, 520

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


Find the LCM of 935, 991, 302, 520 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, 991, 302, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,991,302,520

Given numbers are 935,991,302,520

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

The LCM of 935,991,302,520 is 14551090840.

Find LCM of 935,991,302,520 with Prime Factorization


2 935, 991, 302, 520
5 935, 991, 151, 260
187, 991, 151, 52

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

2 x 5 x 187 x 991 x 151 x 52 = 14551090840

Therefore, the lowest common multiple of 935,991,302,520 is 14551090840.

LCM Formula to Find Lowest Common Multiple of 935,991,302,520

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 991 x 302 x 520 = 145510908400

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

991 : 1, 991

302 : 1, 2, 151, 302

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,991,302,520, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

991:991

302:2x 151

520:2x 2x 2x 5x 13

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 145510908400/(1x10)

LCM = 145510908400/10

LCM = 14551090840

Thus, we can understand that the LCM of 935,991,302,520 is 14551090840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 991, 302, 520

1. What is the LCM of 935, 991, 302, 520?

Answer: LCM of 935, 991, 302, 520 is 14551090840.

2. How to calculate the LCM of 935, 991, 302, 520?

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, 991, 302, 520.

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}.