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LCM of 968, 614, 693, 680

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


Find the LCM of 968, 614, 693, 680 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 968, 614, 693, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 968,614,693,680

Given numbers are 968,614,693,680

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

The LCM of 968,614,693,680 is 1591377480.

Find LCM of 968,614,693,680 with Prime Factorization


2 968, 614, 693, 680
2 484, 307, 693, 340
2 242, 307, 693, 170
11 121, 307, 693, 85
11, 307, 63, 85

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

2 x 2 x 2 x 11 x 11 x 307 x 63 x 85 = 1591377480

Therefore, the lowest common multiple of 968,614,693,680 is 1591377480.

LCM Formula to Find Lowest Common Multiple of 968,614,693,680

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.

968 x 614 x 693 x 680 = 280082436480

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

614 : 1, 2, 307, 614

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,614,693,680, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

614:2x 307

693:3x 3x 7x 11

680:2x 2x 2x 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.

2x 2x 2x 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 280082436480/(1x176)

LCM = 280082436480/176

LCM = 1591377480

Thus, we can understand that the LCM of 968,614,693,680 is 1591377480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 968, 614, 693, 680

1. What is the LCM of 968, 614, 693, 680?

Answer: LCM of 968, 614, 693, 680 is 1591377480.

2. How to calculate the LCM of 968, 614, 693, 680?

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 968, 614, 693, 680.

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}.