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LCM of 935, 203, 751, 146, 949

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


Find the LCM of 935, 203, 751, 146, 949 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, 203, 751, 146, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,203,751,146,949

Given numbers are 935,203,751,146,949

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

The LCM of 935,203,751,146,949 is 270547667390.

Find LCM of 935,203,751,146,949 with Prime Factorization


73 935, 203, 751, 146, 949
935, 203, 751, 2, 13

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

73 x 935 x 203 x 751 x 2 x 13 = 270547667390

Therefore, the lowest common multiple of 935,203,751,146,949 is 270547667390.

LCM Formula to Find Lowest Common Multiple of 935,203,751,146,949

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 203 x 751 x 146 x 949 = 19749979719470

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

203 : 1, 7, 29, 203

751 : 1, 751

146 : 1, 2, 73, 146

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,203,751,146,949, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

203:7x 29

751:751

146:2x 73

949:13x 73

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

73 = 73

Therefore, the value for common factors is 73.

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 = 19749979719470/(1x73)

LCM = 19749979719470/73

LCM = 270547667390

Thus, we can understand that the LCM of 935,203,751,146,949 is 270547667390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 203, 751, 146, 949

1. What is the LCM of 935, 203, 751, 146, 949?

Answer: LCM of 935, 203, 751, 146, 949 is 270547667390.

2. How to calculate the LCM of 935, 203, 751, 146, 949?

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, 203, 751, 146, 949.

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}.