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LCM of 961, 982, 680, 681

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


Find the LCM of 961, 982, 680, 681 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 961, 982, 680, 681. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,982,680,681

Given numbers are 961,982,680,681

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

The LCM of 961,982,680,681 is 218504761080.

Find LCM of 961,982,680,681 with Prime Factorization


2 961, 982, 680, 681
961, 491, 340, 681

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

2 x 961 x 491 x 340 x 681 = 218504761080

Therefore, the lowest common multiple of 961,982,680,681 is 218504761080.

LCM Formula to Find Lowest Common Multiple of 961,982,680,681

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.

961 x 982 x 680 x 681 = 437009522160

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.

961 : 1, 31, 961

982 : 1, 2, 491, 982

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

681 : 1, 3, 227, 681

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,982,680,681, is 1.

Now, the common factors can be found like this.

961:31x 31

982:2x 491

680:2x 2x 2x 5x 17

681:3x 227

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

2 = 2

Therefore, the value for common factors is 2.

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 = 437009522160/(1x2)

LCM = 437009522160/2

LCM = 218504761080

Thus, we can understand that the LCM of 961,982,680,681 is 218504761080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 982, 680, 681

1. What is the LCM of 961, 982, 680, 681?

Answer: LCM of 961, 982, 680, 681 is 218504761080.

2. How to calculate the LCM of 961, 982, 680, 681?

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 961, 982, 680, 681.

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}.