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LCM of 985, 778, 233, 778, 329

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


Find the LCM of 985, 778, 233, 778, 329 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 985, 778, 233, 778, 329. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 985,778,233,778,329

Given numbers are 985,778,233,778,329

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

The LCM of 985,778,233,778,329 is 58744558810.

Find LCM of 985,778,233,778,329 with Prime Factorization


2 985, 778, 233, 778, 329
389 985, 389, 233, 389, 329
985, 1, 233, 1, 329

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

2 x 389 x 985 x 1 x 233 x 1 x 329 = 58744558810

Therefore, the lowest common multiple of 985,778,233,778,329 is 58744558810.

LCM Formula to Find Lowest Common Multiple of 985,778,233,778,329

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.

985 x 778 x 233 x 778 x 329 = 45703266754180

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.

985 : 1, 5, 197, 985

778 : 1, 2, 389, 778

233 : 1, 233

778 : 1, 2, 389, 778

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,778,233,778,329, is 1.

Now, the common factors can be found like this.

985:5x 197

778:2x 389

233:233

778:2x 389

329:7x 47

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

2x 389 = 778

Therefore, the value for common factors is 778.

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 = 45703266754180/(1x778)

LCM = 45703266754180/778

LCM = 58744558810

Thus, we can understand that the LCM of 985,778,233,778,329 is 58744558810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 985, 778, 233, 778, 329

1. What is the LCM of 985, 778, 233, 778, 329?

Answer: LCM of 985, 778, 233, 778, 329 is 58744558810.

2. How to calculate the LCM of 985, 778, 233, 778, 329?

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 985, 778, 233, 778, 329.

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}.