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LCM of 734, 589, 932, 413, 981

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


Find the LCM of 734, 589, 932, 413, 981 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 734, 589, 932, 413, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,589,932,413,981

Given numbers are 734,589,932,413,981

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

The LCM of 734,589,932,413,981 is 81623709959148.

Find LCM of 734,589,932,413,981 with Prime Factorization


2 734, 589, 932, 413, 981
367, 589, 466, 413, 981

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

2 x 367 x 589 x 466 x 413 x 981 = 81623709959148

Therefore, the lowest common multiple of 734,589,932,413,981 is 81623709959148.

LCM Formula to Find Lowest Common Multiple of 734,589,932,413,981

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.

734 x 589 x 932 x 413 x 981 = 163247419918296

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.

734 : 1, 2, 367, 734

589 : 1, 19, 31, 589

932 : 1, 2, 4, 233, 466, 932

413 : 1, 7, 59, 413

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,589,932,413,981, is 1.

Now, the common factors can be found like this.

734:2x 367

589:19x 31

932:2x 2x 233

413:7x 59

981:3x 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.

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 = 163247419918296/(1x2)

LCM = 163247419918296/2

LCM = 81623709959148

Thus, we can understand that the LCM of 734,589,932,413,981 is 81623709959148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 589, 932, 413, 981

1. What is the LCM of 734, 589, 932, 413, 981?

Answer: LCM of 734, 589, 932, 413, 981 is 81623709959148.

2. How to calculate the LCM of 734, 589, 932, 413, 981?

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 734, 589, 932, 413, 981.

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}.