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LCM of 417, 938, 526, 979

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


Find the LCM of 417, 938, 526, 979 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 417, 938, 526, 979. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 417,938,526,979

Given numbers are 417,938,526,979

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

The LCM of 417,938,526,979 is 100711098642.

Find LCM of 417,938,526,979 with Prime Factorization


2 417, 938, 526, 979
417, 469, 263, 979

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

2 x 417 x 469 x 263 x 979 = 100711098642

Therefore, the lowest common multiple of 417,938,526,979 is 100711098642.

LCM Formula to Find Lowest Common Multiple of 417,938,526,979

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.

417 x 938 x 526 x 979 = 201422197284

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.

417 : 1, 3, 139, 417

938 : 1, 2, 7, 14, 67, 134, 469, 938

526 : 1, 2, 263, 526

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,938,526,979, is 1.

Now, the common factors can be found like this.

417:3x 139

938:2x 7x 67

526:2x 263

979:11x 89

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 = 201422197284/(1x2)

LCM = 201422197284/2

LCM = 100711098642

Thus, we can understand that the LCM of 417,938,526,979 is 100711098642.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 417, 938, 526, 979

1. What is the LCM of 417, 938, 526, 979?

Answer: LCM of 417, 938, 526, 979 is 100711098642.

2. How to calculate the LCM of 417, 938, 526, 979?

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 417, 938, 526, 979.

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}.