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LCM of 986, 762, 418, 756

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


Find the LCM of 986, 762, 418, 756 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 986, 762, 418, 756. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,762,418,756

Given numbers are 986,762,418,756

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

The LCM of 986,762,418,756 is 9892788444.

Find LCM of 986,762,418,756 with Prime Factorization


2 986, 762, 418, 756
3 493, 381, 209, 378
493, 127, 209, 126

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

2 x 3 x 493 x 127 x 209 x 126 = 9892788444

Therefore, the lowest common multiple of 986,762,418,756 is 9892788444.

LCM Formula to Find Lowest Common Multiple of 986,762,418,756

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.

986 x 762 x 418 x 756 = 237426922656

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

762 : 1, 2, 3, 6, 127, 254, 381, 762

418 : 1, 2, 11, 19, 22, 38, 209, 418

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,762,418,756, is 2.

Now, the common factors can be found like this.

986:2x 17x 29

762:2x 3x 127

418:2x 11x 19

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

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 3 = 12

Therefore, the value for common factors is 12.

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 = 237426922656/(2x12)

LCM = 237426922656/24

LCM = 9892788444

Thus, we can understand that the LCM of 986,762,418,756 is 9892788444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 762, 418, 756

1. What is the LCM of 986, 762, 418, 756?

Answer: LCM of 986, 762, 418, 756 is 9892788444.

2. How to calculate the LCM of 986, 762, 418, 756?

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 986, 762, 418, 756.

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}.