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LCM of 757, 824, 551, 389, 515

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


Find the LCM of 757, 824, 551, 389, 515 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, 824, 551, 389, 515. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,824,551,389,515

Given numbers are 757,824,551,389,515

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

The LCM of 757,824,551,389,515 is 668489046760.

Find LCM of 757,824,551,389,515 with Prime Factorization


103 757, 824, 551, 389, 515
757, 8, 551, 389, 5

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

103 x 757 x 8 x 551 x 389 x 5 = 668489046760

Therefore, the lowest common multiple of 757,824,551,389,515 is 668489046760.

LCM Formula to Find Lowest Common Multiple of 757,824,551,389,515

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 824 x 551 x 389 x 515 = 68854371816280

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

551 : 1, 19, 29, 551

389 : 1, 389

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,824,551,389,515, is 1.

Now, the common factors can be found like this.

757:757

824:2x 2x 2x 103

551:19x 29

389:389

515:5x 103

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

103 = 103

Therefore, the value for common factors is 103.

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 = 68854371816280/(1x103)

LCM = 68854371816280/103

LCM = 668489046760

Thus, we can understand that the LCM of 757,824,551,389,515 is 668489046760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 824, 551, 389, 515

1. What is the LCM of 757, 824, 551, 389, 515?

Answer: LCM of 757, 824, 551, 389, 515 is 668489046760.

2. How to calculate the LCM of 757, 824, 551, 389, 515?

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, 824, 551, 389, 515.

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}.