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LCM of 417, 139, 349, 446

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


Find the LCM of 417, 139, 349, 446 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, 139, 349, 446. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 417,139,349,446

Given numbers are 417,139,349,446

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

The LCM of 417,139,349,446 is 64907718.

Find LCM of 417,139,349,446 with Prime Factorization


139 417, 139, 349, 446
3, 1, 349, 446

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

139 x 3 x 1 x 349 x 446 = 64907718

Therefore, the lowest common multiple of 417,139,349,446 is 64907718.

LCM Formula to Find Lowest Common Multiple of 417,139,349,446

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 139 x 349 x 446 = 9022172802

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

139 : 1, 139

349 : 1, 349

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,139,349,446, is 1.

Now, the common factors can be found like this.

417:3x 139

139:139

349:349

446:2x 223

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

139 = 139

Therefore, the value for common factors is 139.

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 = 9022172802/(1x139)

LCM = 9022172802/139

LCM = 64907718

Thus, we can understand that the LCM of 417,139,349,446 is 64907718.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 417, 139, 349, 446

1. What is the LCM of 417, 139, 349, 446?

Answer: LCM of 417, 139, 349, 446 is 64907718.

2. How to calculate the LCM of 417, 139, 349, 446?

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, 139, 349, 446.

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}.