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LCM of 731, 452, 984, 215, 835

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


Find the LCM of 731, 452, 984, 215, 835 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 731, 452, 984, 215, 835. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,452,984,215,835

Given numbers are 731,452,984,215,835

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

The LCM of 731,452,984,215,835 is 67869928920.

Find LCM of 731,452,984,215,835 with Prime Factorization


2 731, 452, 984, 215, 835
2 731, 226, 492, 215, 835
5 731, 113, 246, 215, 835
43 731, 113, 246, 43, 167
17, 113, 246, 1, 167

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

2 x 2 x 5 x 43 x 17 x 113 x 246 x 1 x 167 = 67869928920

Therefore, the lowest common multiple of 731,452,984,215,835 is 67869928920.

LCM Formula to Find Lowest Common Multiple of 731,452,984,215,835

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.

731 x 452 x 984 x 215 x 835 = 58368138871200

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.

731 : 1, 17, 43, 731

452 : 1, 2, 4, 113, 226, 452

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

215 : 1, 5, 43, 215

835 : 1, 5, 167, 835

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,452,984,215,835, is 1.

Now, the common factors can be found like this.

731:17x 43

452:2x 2x 113

984:2x 2x 2x 3x 41

215:5x 43

835:5x 167

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 5x 43 = 860

Therefore, the value for common factors is 860.

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 = 58368138871200/(1x860)

LCM = 58368138871200/860

LCM = 67869928920

Thus, we can understand that the LCM of 731,452,984,215,835 is 67869928920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 452, 984, 215, 835

1. What is the LCM of 731, 452, 984, 215, 835?

Answer: LCM of 731, 452, 984, 215, 835 is 67869928920.

2. How to calculate the LCM of 731, 452, 984, 215, 835?

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 731, 452, 984, 215, 835.

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}.