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LCM of 467, 735, 733, 733

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


Find the LCM of 467, 735, 733, 733 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 467, 735, 733, 733. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 467,735,733,733

Given numbers are 467,735,733,733

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

The LCM of 467,735,733,733 is 251598585.

Find LCM of 467,735,733,733 with Prime Factorization


733 467, 735, 733, 733
467, 735, 1, 1

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

733 x 467 x 735 x 1 x 1 = 251598585

Therefore, the lowest common multiple of 467,735,733,733 is 251598585.

LCM Formula to Find Lowest Common Multiple of 467,735,733,733

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.

467 x 735 x 733 x 733 = 184421762805

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.

467 : 1, 467

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

733 : 1, 733

733 : 1, 733

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,735,733,733, is 1.

Now, the common factors can be found like this.

467:467

735:3x 5x 7x 7

733:733

733:733

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

733 = 733

Therefore, the value for common factors is 733.

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 = 184421762805/(1x733)

LCM = 184421762805/733

LCM = 251598585

Thus, we can understand that the LCM of 467,735,733,733 is 251598585.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 467, 735, 733, 733

1. What is the LCM of 467, 735, 733, 733?

Answer: LCM of 467, 735, 733, 733 is 251598585.

2. How to calculate the LCM of 467, 735, 733, 733?

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 467, 735, 733, 733.

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}.