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LCM of 437, 958, 646, 949

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


Find the LCM of 437, 958, 646, 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 437, 958, 646, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,958,646,949

Given numbers are 437,958,646,949

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

The LCM of 437,958,646,949 is 6754015918.

Find LCM of 437,958,646,949 with Prime Factorization


2 437, 958, 646, 949
19 437, 479, 323, 949
23, 479, 17, 949

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

2 x 19 x 23 x 479 x 17 x 949 = 6754015918

Therefore, the lowest common multiple of 437,958,646,949 is 6754015918.

LCM Formula to Find Lowest Common Multiple of 437,958,646,949

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.

437 x 958 x 646 x 949 = 256652604884

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.

437 : 1, 19, 23, 437

958 : 1, 2, 479, 958

646 : 1, 2, 17, 19, 34, 38, 323, 646

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,958,646,949, is 1.

Now, the common factors can be found like this.

437:19x 23

958:2x 479

646:2x 17x 19

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.

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 256652604884/(1x38)

LCM = 256652604884/38

LCM = 6754015918

Thus, we can understand that the LCM of 437,958,646,949 is 6754015918.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 958, 646, 949

1. What is the LCM of 437, 958, 646, 949?

Answer: LCM of 437, 958, 646, 949 is 6754015918.

2. How to calculate the LCM of 437, 958, 646, 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 437, 958, 646, 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}.