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LCM of 436, 878, 878, 694

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


Find the LCM of 436, 878, 878, 694 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 436, 878, 878, 694. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 436,878,878,694

Given numbers are 436,878,878,694

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

The LCM of 436,878,878,694 is 66417188.

Find LCM of 436,878,878,694 with Prime Factorization


2 436, 878, 878, 694
439 218, 439, 439, 347
218, 1, 1, 347

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

2 x 439 x 218 x 1 x 1 x 347 = 66417188

Therefore, the lowest common multiple of 436,878,878,694 is 66417188.

LCM Formula to Find Lowest Common Multiple of 436,878,878,694

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.

436 x 878 x 878 x 694 = 233257164256

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.

436 : 1, 2, 4, 109, 218, 436

878 : 1, 2, 439, 878

878 : 1, 2, 439, 878

694 : 1, 2, 347, 694

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,878,878,694, is 2.

Now, the common factors can be found like this.

436:2x 2x 109

878:2x 439

878:2x 439

694:2x 347

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 439 = 1756

Therefore, the value for common factors is 1756.

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 = 233257164256/(2x1756)

LCM = 233257164256/3512

LCM = 66417188

Thus, we can understand that the LCM of 436,878,878,694 is 66417188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 436, 878, 878, 694

1. What is the LCM of 436, 878, 878, 694?

Answer: LCM of 436, 878, 878, 694 is 66417188.

2. How to calculate the LCM of 436, 878, 878, 694?

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 436, 878, 878, 694.

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}.