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LCM of 752, 749, 628, 628

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


Find the LCM of 752, 749, 628, 628 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 752, 749, 628, 628. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 752,749,628,628

Given numbers are 752,749,628,628

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

The LCM of 752,749,628,628 is 88429936.

Find LCM of 752,749,628,628 with Prime Factorization


2 752, 749, 628, 628
2 376, 749, 314, 314
157 188, 749, 157, 157
188, 749, 1, 1

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

2 x 2 x 157 x 188 x 749 x 1 x 1 = 88429936

Therefore, the lowest common multiple of 752,749,628,628 is 88429936.

LCM Formula to Find Lowest Common Multiple of 752,749,628,628

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.

752 x 749 x 628 x 628 = 222135999232

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

749 : 1, 7, 107, 749

628 : 1, 2, 4, 157, 314, 628

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,749,628,628, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

749:7x 107

628:2x 2x 157

628:2x 2x 157

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

2x 2x 2x 2x 157 = 2512

Therefore, the value for common factors is 2512.

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 = 222135999232/(1x2512)

LCM = 222135999232/2512

LCM = 88429936

Thus, we can understand that the LCM of 752,749,628,628 is 88429936.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 752, 749, 628, 628

1. What is the LCM of 752, 749, 628, 628?

Answer: LCM of 752, 749, 628, 628 is 88429936.

2. How to calculate the LCM of 752, 749, 628, 628?

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 752, 749, 628, 628.

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}.