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LCM of 9, 749, 529, 749

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


Find the LCM of 9, 749, 529, 749 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 9, 749, 529, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9,749,529,749

Given numbers are 9,749,529,749

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

The LCM of 9,749,529,749 is 3565989.

Find LCM of 9,749,529,749 with Prime Factorization


7 9, 749, 529, 749
107 9, 107, 529, 107
9, 1, 529, 1

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

7 x 107 x 9 x 1 x 529 x 1 = 3565989

Therefore, the lowest common multiple of 9,749,529,749 is 3565989.

LCM Formula to Find Lowest Common Multiple of 9,749,529,749

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.

9 x 749 x 529 x 749 = 2670925761

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.

9 : 1, 3, 9

749 : 1, 7, 107, 749

529 : 1, 23, 529

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9,749,529,749, is 1.

Now, the common factors can be found like this.

9:3x 3

749:7x 107

529:23x 23

749:7x 107

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

7x 107 = 749

Therefore, the value for common factors is 749.

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 = 2670925761/(1x749)

LCM = 2670925761/749

LCM = 3565989

Thus, we can understand that the LCM of 9,749,529,749 is 3565989.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 9, 749, 529, 749

1. What is the LCM of 9, 749, 529, 749?

Answer: LCM of 9, 749, 529, 749 is 3565989.

2. How to calculate the LCM of 9, 749, 529, 749?

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 9, 749, 529, 749.

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}.