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LCM of 720, 310, 910, 907

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


Find the LCM of 720, 310, 910, 907 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, 310, 910, 907. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,310,910,907

Given numbers are 720,310,910,907

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

The LCM of 720,310,910,907 is 1842225840.

Find LCM of 720,310,910,907 with Prime Factorization


2 720, 310, 910, 907
5 360, 155, 455, 907
72, 31, 91, 907

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

2 x 5 x 72 x 31 x 91 x 907 = 1842225840

Therefore, the lowest common multiple of 720,310,910,907 is 1842225840.

LCM Formula to Find Lowest Common Multiple of 720,310,910,907

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 310 x 910 x 907 = 184222584000

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

907 : 1, 907

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,310,910,907, is 1.

Now, the common factors can be found like this.

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

310:2x 5x 31

910:2x 5x 7x 13

907:907

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 5 = 100

Therefore, the value for common factors is 100.

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 = 184222584000/(1x100)

LCM = 184222584000/100

LCM = 1842225840

Thus, we can understand that the LCM of 720,310,910,907 is 1842225840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 310, 910, 907

1. What is the LCM of 720, 310, 910, 907?

Answer: LCM of 720, 310, 910, 907 is 1842225840.

2. How to calculate the LCM of 720, 310, 910, 907?

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, 310, 910, 907.

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}.