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LCM of 230, 907, 907, 723

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


Find the LCM of 230, 907, 907, 723 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 230, 907, 907, 723. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,907,907,723

Given numbers are 230,907,907,723

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

The LCM of 230,907,907,723 is 150825030.

Find LCM of 230,907,907,723 with Prime Factorization


907 230, 907, 907, 723
230, 1, 1, 723

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

907 x 230 x 1 x 1 x 723 = 150825030

Therefore, the lowest common multiple of 230,907,907,723 is 150825030.

LCM Formula to Find Lowest Common Multiple of 230,907,907,723

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.

230 x 907 x 907 x 723 = 136798302210

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

907 : 1, 907

907 : 1, 907

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,907,907,723, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

907:907

907:907

723:3x 241

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

907 = 907

Therefore, the value for common factors is 907.

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 = 136798302210/(1x907)

LCM = 136798302210/907

LCM = 150825030

Thus, we can understand that the LCM of 230,907,907,723 is 150825030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 907, 907, 723

1. What is the LCM of 230, 907, 907, 723?

Answer: LCM of 230, 907, 907, 723 is 150825030.

2. How to calculate the LCM of 230, 907, 907, 723?

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 230, 907, 907, 723.

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}.