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LCM of 958, 479, 407

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


Find the LCM of 958, 479, 407 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, 479, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,479,407

Given numbers are 958,479,407

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

The LCM of 958,479,407 is 389906.

Find LCM of 958,479,407 with Prime Factorization


479 958, 479, 407
2, 1, 407

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

479 x 2 x 1 x 407 = 389906

Therefore, the lowest common multiple of 958,479,407 is 389906.

LCM Formula to Find Lowest Common Multiple of 958,479,407

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 479 x 407 = 186764974

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

479 : 1, 479

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,479,407, is 1.

Now, the common factors can be found like this.

958:2x 479

479:479

407:11x 37

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

479 = 479

Therefore, the value for common factors is 479.

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 = 186764974/(1x479)

LCM = 186764974/479

LCM = 389906

Thus, we can understand that the LCM of 958,479,407 is 389906.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 958, 479, 407

1. What is the LCM of 958, 479, 407?

Answer: LCM of 958, 479, 407 is 389906.

2. How to calculate the LCM of 958, 479, 407?

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, 479, 407.

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}.