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LCM of 951, 951, 365, 898, 723

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


Find the LCM of 951, 951, 365, 898, 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 951, 951, 365, 898, 723. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 951,951,365,898,723

Given numbers are 951,951,365,898,723

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

The LCM of 951,951,365,898,723 is 75121934070.

Find LCM of 951,951,365,898,723 with Prime Factorization


3 951, 951, 365, 898, 723
317 317, 317, 365, 898, 241
1, 1, 365, 898, 241

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

3 x 317 x 1 x 1 x 365 x 898 x 241 = 75121934070

Therefore, the lowest common multiple of 951,951,365,898,723 is 75121934070.

LCM Formula to Find Lowest Common Multiple of 951,951,365,898,723

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.

951 x 951 x 365 x 898 x 723 = 214322877901710

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.

951 : 1, 3, 317, 951

951 : 1, 3, 317, 951

365 : 1, 5, 73, 365

898 : 1, 2, 449, 898

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,951,365,898,723, is 1.

Now, the common factors can be found like this.

951:3x 317

951:3x 317

365:5x 73

898:2x 449

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.

3x 3x 317 = 2853

Therefore, the value for common factors is 2853.

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 = 214322877901710/(1x2853)

LCM = 214322877901710/2853

LCM = 75121934070

Thus, we can understand that the LCM of 951,951,365,898,723 is 75121934070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 951, 951, 365, 898, 723

1. What is the LCM of 951, 951, 365, 898, 723?

Answer: LCM of 951, 951, 365, 898, 723 is 75121934070.

2. How to calculate the LCM of 951, 951, 365, 898, 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 951, 951, 365, 898, 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}.