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LCM of 720, 854, 454, 193, 731

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


Find the LCM of 720, 854, 454, 193, 731 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 720, 854, 454, 193, 731. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,854,454,193,731

Given numbers are 720,854,454,193,731

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

The LCM of 720,854,454,193,731 is 9846024557040.

Find LCM of 720,854,454,193,731 with Prime Factorization


2 720, 854, 454, 193, 731
360, 427, 227, 193, 731

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

2 x 360 x 427 x 227 x 193 x 731 = 9846024557040

Therefore, the lowest common multiple of 720,854,454,193,731 is 9846024557040.

LCM Formula to Find Lowest Common Multiple of 720,854,454,193,731

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.

720 x 854 x 454 x 193 x 731 = 39384098228160

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

854 : 1, 2, 7, 14, 61, 122, 427, 854

454 : 1, 2, 227, 454

193 : 1, 193

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,854,454,193,731, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

854:2x 7x 61

454:2x 227

193:193

731:17x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 39384098228160/(1x4)

LCM = 39384098228160/4

LCM = 9846024557040

Thus, we can understand that the LCM of 720,854,454,193,731 is 9846024557040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 854, 454, 193, 731

1. What is the LCM of 720, 854, 454, 193, 731?

Answer: LCM of 720, 854, 454, 193, 731 is 9846024557040.

2. How to calculate the LCM of 720, 854, 454, 193, 731?

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 720, 854, 454, 193, 731.

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}.