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LCM of 481, 999, 533, 958, 967

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


Find the LCM of 481, 999, 533, 958, 967 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 481, 999, 533, 958, 967. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 481,999,533,958,967

Given numbers are 481,999,533,958,967

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

The LCM of 481,999,533,958,967 is 493269974262.

Find LCM of 481,999,533,958,967 with Prime Factorization


13 481, 999, 533, 958, 967
37 37, 999, 41, 958, 967
1, 27, 41, 958, 967

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

13 x 37 x 1 x 27 x 41 x 958 x 967 = 493269974262

Therefore, the lowest common multiple of 481,999,533,958,967 is 493269974262.

LCM Formula to Find Lowest Common Multiple of 481,999,533,958,967

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.

481 x 999 x 533 x 958 x 967 = 237262857620022

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.

481 : 1, 13, 37, 481

999 : 1, 3, 9, 27, 37, 111, 333, 999

533 : 1, 13, 41, 533

958 : 1, 2, 479, 958

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,999,533,958,967, is 1.

Now, the common factors can be found like this.

481:13x 37

999:3x 3x 3x 37

533:13x 41

958:2x 479

967:967

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

13x 37 = 481

Therefore, the value for common factors is 481.

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 = 237262857620022/(1x481)

LCM = 237262857620022/481

LCM = 493269974262

Thus, we can understand that the LCM of 481,999,533,958,967 is 493269974262.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 481, 999, 533, 958, 967

1. What is the LCM of 481, 999, 533, 958, 967?

Answer: LCM of 481, 999, 533, 958, 967 is 493269974262.

2. How to calculate the LCM of 481, 999, 533, 958, 967?

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 481, 999, 533, 958, 967.

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}.