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LCM of 722, 755, 551, 425

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


Find the LCM of 722, 755, 551, 425 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 722, 755, 551, 425. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 722,755,551,425

Given numbers are 722,755,551,425

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

The LCM of 722,755,551,425 is 1343696150.

Find LCM of 722,755,551,425 with Prime Factorization


5 722, 755, 551, 425
19 722, 151, 551, 85
38, 151, 29, 85

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

5 x 19 x 38 x 151 x 29 x 85 = 1343696150

Therefore, the lowest common multiple of 722,755,551,425 is 1343696150.

LCM Formula to Find Lowest Common Multiple of 722,755,551,425

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.

722 x 755 x 551 x 425 = 127651134250

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.

722 : 1, 2, 19, 38, 361, 722

755 : 1, 5, 151, 755

551 : 1, 19, 29, 551

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,755,551,425, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

755:5x 151

551:19x 29

425:5x 5x 17

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

5x 19 = 95

Therefore, the value for common factors is 95.

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 = 127651134250/(1x95)

LCM = 127651134250/95

LCM = 1343696150

Thus, we can understand that the LCM of 722,755,551,425 is 1343696150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 722, 755, 551, 425

1. What is the LCM of 722, 755, 551, 425?

Answer: LCM of 722, 755, 551, 425 is 1343696150.

2. How to calculate the LCM of 722, 755, 551, 425?

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 722, 755, 551, 425.

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}.