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LCM of 757, 989, 248, 518

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


Find the LCM of 757, 989, 248, 518 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 757, 989, 248, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,989,248,518

Given numbers are 757,989,248,518

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

The LCM of 757,989,248,518 is 48088764136.

Find LCM of 757,989,248,518 with Prime Factorization


2 757, 989, 248, 518
757, 989, 124, 259

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

2 x 757 x 989 x 124 x 259 = 48088764136

Therefore, the lowest common multiple of 757,989,248,518 is 48088764136.

LCM Formula to Find Lowest Common Multiple of 757,989,248,518

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.

757 x 989 x 248 x 518 = 96177528272

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.

757 : 1, 757

989 : 1, 23, 43, 989

248 : 1, 2, 4, 8, 31, 62, 124, 248

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,989,248,518, is 1.

Now, the common factors can be found like this.

757:757

989:23x 43

248:2x 2x 2x 31

518:2x 7x 37

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 = 96177528272/(1x2)

LCM = 96177528272/2

LCM = 48088764136

Thus, we can understand that the LCM of 757,989,248,518 is 48088764136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 989, 248, 518

1. What is the LCM of 757, 989, 248, 518?

Answer: LCM of 757, 989, 248, 518 is 48088764136.

2. How to calculate the LCM of 757, 989, 248, 518?

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 757, 989, 248, 518.

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}.