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LCM of 125, 226, 904, 719

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


Find the LCM of 125, 226, 904, 719 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 125, 226, 904, 719. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 125,226,904,719

Given numbers are 125,226,904,719

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

The LCM of 125,226,904,719 is 81247000.

Find LCM of 125,226,904,719 with Prime Factorization


2 125, 226, 904, 719
113 125, 113, 452, 719
125, 1, 4, 719

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

2 x 113 x 125 x 1 x 4 x 719 = 81247000

Therefore, the lowest common multiple of 125,226,904,719 is 81247000.

LCM Formula to Find Lowest Common Multiple of 125,226,904,719

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.

125 x 226 x 904 x 719 = 18361822000

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.

125 : 1, 5, 25, 125

226 : 1, 2, 113, 226

904 : 1, 2, 4, 8, 113, 226, 452, 904

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,226,904,719, is 1.

Now, the common factors can be found like this.

125:5x 5x 5

226:2x 113

904:2x 2x 2x 113

719:719

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

2x 113 = 226

Therefore, the value for common factors is 226.

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 = 18361822000/(1x226)

LCM = 18361822000/226

LCM = 81247000

Thus, we can understand that the LCM of 125,226,904,719 is 81247000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 125, 226, 904, 719

1. What is the LCM of 125, 226, 904, 719?

Answer: LCM of 125, 226, 904, 719 is 81247000.

2. How to calculate the LCM of 125, 226, 904, 719?

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 125, 226, 904, 719.

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}.