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LCM of 726, 749, 523, 424, 650

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


Find the LCM of 726, 749, 523, 424, 650 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 726, 749, 523, 424, 650. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,749,523,424,650

Given numbers are 726,749,523,424,650

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

The LCM of 726,749,523,424,650 is 19594732957800.

Find LCM of 726,749,523,424,650 with Prime Factorization


2 726, 749, 523, 424, 650
363, 749, 523, 212, 325

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

2 x 363 x 749 x 523 x 212 x 325 = 19594732957800

Therefore, the lowest common multiple of 726,749,523,424,650 is 19594732957800.

LCM Formula to Find Lowest Common Multiple of 726,749,523,424,650

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.

726 x 749 x 523 x 424 x 650 = 78378931831200

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

749 : 1, 7, 107, 749

523 : 1, 523

424 : 1, 2, 4, 8, 53, 106, 212, 424

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,749,523,424,650, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

749:7x 107

523:523

424:2x 2x 2x 53

650:2x 5x 5x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 78378931831200/(1x4)

LCM = 78378931831200/4

LCM = 19594732957800

Thus, we can understand that the LCM of 726,749,523,424,650 is 19594732957800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 749, 523, 424, 650

1. What is the LCM of 726, 749, 523, 424, 650?

Answer: LCM of 726, 749, 523, 424, 650 is 19594732957800.

2. How to calculate the LCM of 726, 749, 523, 424, 650?

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 726, 749, 523, 424, 650.

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}.