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LCM of 986, 378, 406, 625

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


Find the LCM of 986, 378, 406, 625 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, 378, 406, 625. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,378,406,625

Given numbers are 986,378,406,625

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

The LCM of 986,378,406,625 is 116471250.

Find LCM of 986,378,406,625 with Prime Factorization


2 986, 378, 406, 625
7 493, 189, 203, 625
29 493, 27, 29, 625
17, 27, 1, 625

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

2 x 7 x 29 x 17 x 27 x 1 x 625 = 116471250

Therefore, the lowest common multiple of 986,378,406,625 is 116471250.

LCM Formula to Find Lowest Common Multiple of 986,378,406,625

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 378 x 406 x 625 = 94574655000

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

406 : 1, 2, 7, 14, 29, 58, 203, 406

625 : 1, 5, 25, 125, 625

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,378,406,625, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

378:2x 3x 3x 3x 7

406:2x 7x 29

625:5x 5x 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 2x 7x 29 = 812

Therefore, the value for common factors is 812.

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 = 94574655000/(1x812)

LCM = 94574655000/812

LCM = 116471250

Thus, we can understand that the LCM of 986,378,406,625 is 116471250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 378, 406, 625

1. What is the LCM of 986, 378, 406, 625?

Answer: LCM of 986, 378, 406, 625 is 116471250.

2. How to calculate the LCM of 986, 378, 406, 625?

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, 378, 406, 625.

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}.