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LCM of 962, 611, 487, 661, 600

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


Find the LCM of 962, 611, 487, 661, 600 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, 611, 487, 661, 600. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 962,611,487,661,600

Given numbers are 962,611,487,661,600

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

The LCM of 962,611,487,661,600 is 4366410929400.

Find LCM of 962,611,487,661,600 with Prime Factorization


2 962, 611, 487, 661, 600
13 481, 611, 487, 661, 300
37, 47, 487, 661, 300

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

2 x 13 x 37 x 47 x 487 x 661 x 300 = 4366410929400

Therefore, the lowest common multiple of 962,611,487,661,600 is 4366410929400.

LCM Formula to Find Lowest Common Multiple of 962,611,487,661,600

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 611 x 487 x 661 x 600 = 113526684164400

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

611 : 1, 13, 47, 611

487 : 1, 487

661 : 1, 661

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,611,487,661,600, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

611:13x 47

487:487

661:661

600:2x 2x 2x 3x 5x 5

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 113526684164400/(1x26)

LCM = 113526684164400/26

LCM = 4366410929400

Thus, we can understand that the LCM of 962,611,487,661,600 is 4366410929400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 962, 611, 487, 661, 600

1. What is the LCM of 962, 611, 487, 661, 600?

Answer: LCM of 962, 611, 487, 661, 600 is 4366410929400.

2. How to calculate the LCM of 962, 611, 487, 661, 600?

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, 611, 487, 661, 600.

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}.