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LCM of 958, 424, 479, 908

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


Find the LCM of 958, 424, 479, 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 958, 424, 479, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,424,479,908

Given numbers are 958,424,479,908

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

The LCM of 958,424,479,908 is 46102792.

Find LCM of 958,424,479,908 with Prime Factorization


2 958, 424, 479, 908
2 479, 212, 479, 454
479 479, 106, 479, 227
1, 106, 1, 227

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

2 x 2 x 479 x 1 x 106 x 1 x 227 = 46102792

Therefore, the lowest common multiple of 958,424,479,908 is 46102792.

LCM Formula to Find Lowest Common Multiple of 958,424,479,908

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.

958 x 424 x 479 x 908 = 176665898944

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.

958 : 1, 2, 479, 958

424 : 1, 2, 4, 8, 53, 106, 212, 424

479 : 1, 479

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 958,424,479,908, is 1.

Now, the common factors can be found like this.

958:2x 479

424:2x 2x 2x 53

479:479

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.

2x 2x 2x 479 = 3832

Therefore, the value for common factors is 3832.

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 = 176665898944/(1x3832)

LCM = 176665898944/3832

LCM = 46102792

Thus, we can understand that the LCM of 958,424,479,908 is 46102792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 424, 479, 908

1. What is the LCM of 958, 424, 479, 908?

Answer: LCM of 958, 424, 479, 908 is 46102792.

2. How to calculate the LCM of 958, 424, 479, 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 958, 424, 479, 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}.