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LCM of 418, 723, 953, 908

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


Find the LCM of 418, 723, 953, 908 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 418, 723, 953, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,723,953,908

Given numbers are 418,723,953,908

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

The LCM of 418,723,953,908 is 130756513668.

Find LCM of 418,723,953,908 with Prime Factorization


2 418, 723, 953, 908
209, 723, 953, 454

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

2 x 209 x 723 x 953 x 454 = 130756513668

Therefore, the lowest common multiple of 418,723,953,908 is 130756513668.

LCM Formula to Find Lowest Common Multiple of 418,723,953,908

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.

418 x 723 x 953 x 908 = 261513027336

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

723 : 1, 3, 241, 723

953 : 1, 953

908 : 1, 2, 4, 227, 454, 908

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,723,953,908, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

723:3x 241

953:953

908:2x 2x 227

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

2 = 2

Therefore, the value for common factors is 2.

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 = 261513027336/(1x2)

LCM = 261513027336/2

LCM = 130756513668

Thus, we can understand that the LCM of 418,723,953,908 is 130756513668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 723, 953, 908

1. What is the LCM of 418, 723, 953, 908?

Answer: LCM of 418, 723, 953, 908 is 130756513668.

2. How to calculate the LCM of 418, 723, 953, 908?

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 418, 723, 953, 908.

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}.