LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 859, 525, 989, 488, 970

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


Find the LCM of 859, 525, 989, 488, 970 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 859, 525, 989, 488, 970. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 859,525,989,488,970

Given numbers are 859,525,989,488,970

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

The LCM of 859,525,989,488,970 is 21112531721400.

Find LCM of 859,525,989,488,970 with Prime Factorization


2 859, 525, 989, 488, 970
5 859, 525, 989, 244, 485
859, 105, 989, 244, 97

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

2 x 5 x 859 x 105 x 989 x 244 x 97 = 21112531721400

Therefore, the lowest common multiple of 859,525,989,488,970 is 21112531721400.

LCM Formula to Find Lowest Common Multiple of 859,525,989,488,970

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.

859 x 525 x 989 x 488 x 970 = 211125317214000

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.

859 : 1, 859

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

989 : 1, 23, 43, 989

488 : 1, 2, 4, 8, 61, 122, 244, 488

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,525,989,488,970, is 1.

Now, the common factors can be found like this.

859:859

525:3x 5x 5x 7

989:23x 43

488:2x 2x 2x 61

970:2x 5x 97

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 211125317214000/(1x10)

LCM = 211125317214000/10

LCM = 21112531721400

Thus, we can understand that the LCM of 859,525,989,488,970 is 21112531721400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 859, 525, 989, 488, 970

1. What is the LCM of 859, 525, 989, 488, 970?

Answer: LCM of 859, 525, 989, 488, 970 is 21112531721400.

2. How to calculate the LCM of 859, 525, 989, 488, 970?

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 859, 525, 989, 488, 970.

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}.