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LCM of 354, 841, 703, 890, 389

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


Find the LCM of 354, 841, 703, 890, 389 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 354, 841, 703, 890, 389. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 354,841,703,890,389

Given numbers are 354,841,703,890,389

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

The LCM of 354,841,703,890,389 is 36229654724910.

Find LCM of 354,841,703,890,389 with Prime Factorization


2 354, 841, 703, 890, 389
177, 841, 703, 445, 389

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

2 x 177 x 841 x 703 x 445 x 389 = 36229654724910

Therefore, the lowest common multiple of 354,841,703,890,389 is 36229654724910.

LCM Formula to Find Lowest Common Multiple of 354,841,703,890,389

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.

354 x 841 x 703 x 890 x 389 = 72459309449820

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

841 : 1, 29, 841

703 : 1, 19, 37, 703

890 : 1, 2, 5, 10, 89, 178, 445, 890

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,841,703,890,389, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

841:29x 29

703:19x 37

890:2x 5x 89

389:389

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 = 72459309449820/(1x2)

LCM = 72459309449820/2

LCM = 36229654724910

Thus, we can understand that the LCM of 354,841,703,890,389 is 36229654724910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 354, 841, 703, 890, 389

1. What is the LCM of 354, 841, 703, 890, 389?

Answer: LCM of 354, 841, 703, 890, 389 is 36229654724910.

2. How to calculate the LCM of 354, 841, 703, 890, 389?

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 354, 841, 703, 890, 389.

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}.