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LCM of 625, 416, 557, 986

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


Find the LCM of 625, 416, 557, 986 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 625, 416, 557, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,416,557,986

Given numbers are 625,416,557,986

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

The LCM of 625,416,557,986 is 71396260000.

Find LCM of 625,416,557,986 with Prime Factorization


2 625, 416, 557, 986
625, 208, 557, 493

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

2 x 625 x 208 x 557 x 493 = 71396260000

Therefore, the lowest common multiple of 625,416,557,986 is 71396260000.

LCM Formula to Find Lowest Common Multiple of 625,416,557,986

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.

625 x 416 x 557 x 986 = 142792520000

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.

625 : 1, 5, 25, 125, 625

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

557 : 1, 557

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,416,557,986, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

416:2x 2x 2x 2x 2x 13

557:557

986:2x 17x 29

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 = 142792520000/(1x2)

LCM = 142792520000/2

LCM = 71396260000

Thus, we can understand that the LCM of 625,416,557,986 is 71396260000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 416, 557, 986

1. What is the LCM of 625, 416, 557, 986?

Answer: LCM of 625, 416, 557, 986 is 71396260000.

2. How to calculate the LCM of 625, 416, 557, 986?

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 625, 416, 557, 986.

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}.