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LCM of 962, 548, 728, 525, 611

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


Find the LCM of 962, 548, 728, 525, 611 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 962, 548, 728, 525, 611. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 962,548,728,525,611

Given numbers are 962,548,728,525,611

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

The LCM of 962,548,728,525,611 is 13008067800.

Find LCM of 962,548,728,525,611 with Prime Factorization


2 962, 548, 728, 525, 611
2 481, 274, 364, 525, 611
7 481, 137, 182, 525, 611
13 481, 137, 26, 75, 611
37, 137, 2, 75, 47

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

2 x 2 x 7 x 13 x 37 x 137 x 2 x 75 x 47 = 13008067800

Therefore, the lowest common multiple of 962,548,728,525,611 is 13008067800.

LCM Formula to Find Lowest Common Multiple of 962,548,728,525,611

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.

962 x 548 x 728 x 525 x 611 = 123108353659200

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.

962 : 1, 2, 13, 26, 37, 74, 481, 962

548 : 1, 2, 4, 137, 274, 548

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

611 : 1, 13, 47, 611

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,548,728,525,611, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

548:2x 2x 137

728:2x 2x 2x 7x 13

525:3x 5x 5x 7

611:13x 47

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 7x 13x 13 = 9464

Therefore, the value for common factors is 9464.

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 = 123108353659200/(1x9464)

LCM = 123108353659200/9464

LCM = 13008067800

Thus, we can understand that the LCM of 962,548,728,525,611 is 13008067800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 962, 548, 728, 525, 611

1. What is the LCM of 962, 548, 728, 525, 611?

Answer: LCM of 962, 548, 728, 525, 611 is 13008067800.

2. How to calculate the LCM of 962, 548, 728, 525, 611?

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 962, 548, 728, 525, 611.

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}.