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LCM of 923, 273, 967, 407

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


Find the LCM of 923, 273, 967, 407 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 923, 273, 967, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 923,273,967,407

Given numbers are 923,273,967,407

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

The LCM of 923,273,967,407 is 7628547927.

Find LCM of 923,273,967,407 with Prime Factorization


13 923, 273, 967, 407
71, 21, 967, 407

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

13 x 71 x 21 x 967 x 407 = 7628547927

Therefore, the lowest common multiple of 923,273,967,407 is 7628547927.

LCM Formula to Find Lowest Common Multiple of 923,273,967,407

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.

923 x 273 x 967 x 407 = 99171123051

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.

923 : 1, 13, 71, 923

273 : 1, 3, 7, 13, 21, 39, 91, 273

967 : 1, 967

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,273,967,407, is 1.

Now, the common factors can be found like this.

923:13x 71

273:3x 7x 13

967:967

407:11x 37

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

13 = 13

Therefore, the value for common factors is 13.

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 = 99171123051/(1x13)

LCM = 99171123051/13

LCM = 7628547927

Thus, we can understand that the LCM of 923,273,967,407 is 7628547927.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 923, 273, 967, 407

1. What is the LCM of 923, 273, 967, 407?

Answer: LCM of 923, 273, 967, 407 is 7628547927.

2. How to calculate the LCM of 923, 273, 967, 407?

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 923, 273, 967, 407.

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}.