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LCM of 638, 705, 956, 409

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


Find the LCM of 638, 705, 956, 409 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 638, 705, 956, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,705,956,409

Given numbers are 638,705,956,409

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

The LCM of 638,705,956,409 is 87934844580.

Find LCM of 638,705,956,409 with Prime Factorization


2 638, 705, 956, 409
319, 705, 478, 409

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

2 x 319 x 705 x 478 x 409 = 87934844580

Therefore, the lowest common multiple of 638,705,956,409 is 87934844580.

LCM Formula to Find Lowest Common Multiple of 638,705,956,409

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.

638 x 705 x 956 x 409 = 175869689160

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

705 : 1, 3, 5, 15, 47, 141, 235, 705

956 : 1, 2, 4, 239, 478, 956

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,705,956,409, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

705:3x 5x 47

956:2x 2x 239

409:409

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 = 175869689160/(1x2)

LCM = 175869689160/2

LCM = 87934844580

Thus, we can understand that the LCM of 638,705,956,409 is 87934844580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 705, 956, 409

1. What is the LCM of 638, 705, 956, 409?

Answer: LCM of 638, 705, 956, 409 is 87934844580.

2. How to calculate the LCM of 638, 705, 956, 409?

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 638, 705, 956, 409.

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}.