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LCM of 989, 193, 713, 983, 654

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


Find the LCM of 989, 193, 713, 983, 654 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 989, 193, 713, 983, 654. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,193,713,983,654

Given numbers are 989,193,713,983,654

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

The LCM of 989,193,713,983,654 is 3804053012934.

Find LCM of 989,193,713,983,654 with Prime Factorization


23 989, 193, 713, 983, 654
43, 193, 31, 983, 654

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

23 x 43 x 193 x 31 x 983 x 654 = 3804053012934

Therefore, the lowest common multiple of 989,193,713,983,654 is 3804053012934.

LCM Formula to Find Lowest Common Multiple of 989,193,713,983,654

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.

989 x 193 x 713 x 983 x 654 = 87493219297482

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.

989 : 1, 23, 43, 989

193 : 1, 193

713 : 1, 23, 31, 713

983 : 1, 983

654 : 1, 2, 3, 6, 109, 218, 327, 654

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,193,713,983,654, is 1.

Now, the common factors can be found like this.

989:23x 43

193:193

713:23x 31

983:983

654:2x 3x 109

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

23 = 23

Therefore, the value for common factors is 23.

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 = 87493219297482/(1x23)

LCM = 87493219297482/23

LCM = 3804053012934

Thus, we can understand that the LCM of 989,193,713,983,654 is 3804053012934.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 193, 713, 983, 654

1. What is the LCM of 989, 193, 713, 983, 654?

Answer: LCM of 989, 193, 713, 983, 654 is 3804053012934.

2. How to calculate the LCM of 989, 193, 713, 983, 654?

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 989, 193, 713, 983, 654.

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}.