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LCM of 851, 851, 986, 625

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


Find the LCM of 851, 851, 986, 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 851, 851, 986, 625. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,851,986,625

Given numbers are 851,851,986,625

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

The LCM of 851,851,986,625 is 524428750.

Find LCM of 851,851,986,625 with Prime Factorization


23 851, 851, 986, 625
37 37, 37, 986, 625
1, 1, 986, 625

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

23 x 37 x 1 x 1 x 986 x 625 = 524428750

Therefore, the lowest common multiple of 851,851,986,625 is 524428750.

LCM Formula to Find Lowest Common Multiple of 851,851,986,625

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.

851 x 851 x 986 x 625 = 446288866250

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.

851 : 1, 23, 37, 851

851 : 1, 23, 37, 851

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

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 851,851,986,625, is 1.

Now, the common factors can be found like this.

851:23x 37

851:23x 37

986:2x 17x 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.

23x 37 = 851

Therefore, the value for common factors is 851.

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 = 446288866250/(1x851)

LCM = 446288866250/851

LCM = 524428750

Thus, we can understand that the LCM of 851,851,986,625 is 524428750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 851, 986, 625

1. What is the LCM of 851, 851, 986, 625?

Answer: LCM of 851, 851, 986, 625 is 524428750.

2. How to calculate the LCM of 851, 851, 986, 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 851, 851, 986, 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}.