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LCM of 967, 461, 529, 922

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


Find the LCM of 967, 461, 529, 922 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 967, 461, 529, 922. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,461,529,922

Given numbers are 967,461,529,922

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

The LCM of 967,461,529,922 is 471642646.

Find LCM of 967,461,529,922 with Prime Factorization


461 967, 461, 529, 922
967, 1, 529, 2

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

461 x 967 x 1 x 529 x 2 = 471642646

Therefore, the lowest common multiple of 967,461,529,922 is 471642646.

LCM Formula to Find Lowest Common Multiple of 967,461,529,922

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.

967 x 461 x 529 x 922 = 217427259806

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.

967 : 1, 967

461 : 1, 461

529 : 1, 23, 529

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,461,529,922, is 1.

Now, the common factors can be found like this.

967:967

461:461

529:23x 23

922:2x 461

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

461 = 461

Therefore, the value for common factors is 461.

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 = 217427259806/(1x461)

LCM = 217427259806/461

LCM = 471642646

Thus, we can understand that the LCM of 967,461,529,922 is 471642646.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 461, 529, 922

1. What is the LCM of 967, 461, 529, 922?

Answer: LCM of 967, 461, 529, 922 is 471642646.

2. How to calculate the LCM of 967, 461, 529, 922?

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 967, 461, 529, 922.

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}.