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LCM of 706, 930, 984, 756, 246

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


Find the LCM of 706, 930, 984, 756, 246 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 706, 930, 984, 756, 246. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 706,930,984,756,246

Given numbers are 706,930,984,756,246

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

The LCM of 706,930,984,756,246 is 3391892280.

Find LCM of 706,930,984,756,246 with Prime Factorization


2 706, 930, 984, 756, 246
2 353, 465, 492, 378, 123
3 353, 465, 246, 189, 123
41 353, 155, 82, 63, 41
353, 155, 2, 63, 1

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

2 x 2 x 3 x 41 x 353 x 155 x 2 x 63 x 1 = 3391892280

Therefore, the lowest common multiple of 706,930,984,756,246 is 3391892280.

LCM Formula to Find Lowest Common Multiple of 706,930,984,756,246

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.

706 x 930 x 984 x 756 x 246 = 120154392126720

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.

706 : 1, 2, 353, 706

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

246 : 1, 2, 3, 6, 41, 82, 123, 246

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,930,984,756,246, is 2.

Now, the common factors can be found like this.

706:2x 353

930:2x 3x 5x 31

984:2x 2x 2x 3x 41

756:2x 2x 3x 3x 3x 7

246:2x 3x 41

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 3x 3x 3x 41 = 17712

Therefore, the value for common factors is 17712.

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 = 120154392126720/(2x17712)

LCM = 120154392126720/35424

LCM = 3391892280

Thus, we can understand that the LCM of 706,930,984,756,246 is 3391892280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 706, 930, 984, 756, 246

1. What is the LCM of 706, 930, 984, 756, 246?

Answer: LCM of 706, 930, 984, 756, 246 is 3391892280.

2. How to calculate the LCM of 706, 930, 984, 756, 246?

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 706, 930, 984, 756, 246.

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}.