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LCM of 751, 533, 116, 578

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


Find the LCM of 751, 533, 116, 578 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 751, 533, 116, 578. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 751,533,116,578

Given numbers are 751,533,116,578

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

The LCM of 751,533,116,578 is 13419087292.

Find LCM of 751,533,116,578 with Prime Factorization


2 751, 533, 116, 578
751, 533, 58, 289

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

2 x 751 x 533 x 58 x 289 = 13419087292

Therefore, the lowest common multiple of 751,533,116,578 is 13419087292.

LCM Formula to Find Lowest Common Multiple of 751,533,116,578

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.

751 x 533 x 116 x 578 = 26838174584

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.

751 : 1, 751

533 : 1, 13, 41, 533

116 : 1, 2, 4, 29, 58, 116

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,533,116,578, is 1.

Now, the common factors can be found like this.

751:751

533:13x 41

116:2x 2x 29

578:2x 17x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 26838174584/(1x2)

LCM = 26838174584/2

LCM = 13419087292

Thus, we can understand that the LCM of 751,533,116,578 is 13419087292.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 751, 533, 116, 578

1. What is the LCM of 751, 533, 116, 578?

Answer: LCM of 751, 533, 116, 578 is 13419087292.

2. How to calculate the LCM of 751, 533, 116, 578?

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 751, 533, 116, 578.

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}.