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 850, 561, 969, 874

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


Find the LCM of 850, 561, 969, 874 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 850, 561, 969, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 850,561,969,874

Given numbers are 850,561,969,874

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

The LCM of 850,561,969,874 is 12257850.

Find LCM of 850,561,969,874 with Prime Factorization


2 850, 561, 969, 874
3 425, 561, 969, 437
17 425, 187, 323, 437
19 25, 11, 19, 437
25, 11, 1, 23

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

2 x 3 x 17 x 19 x 25 x 11 x 1 x 23 = 12257850

Therefore, the lowest common multiple of 850,561,969,874 is 12257850.

LCM Formula to Find Lowest Common Multiple of 850,561,969,874

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.

850 x 561 x 969 x 874 = 403847126100

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.

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

561 : 1, 3, 11, 17, 33, 51, 187, 561

969 : 1, 3, 17, 19, 51, 57, 323, 969

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,561,969,874, is 1.

Now, the common factors can be found like this.

850:2x 5x 5x 17

561:3x 11x 17

969:3x 17x 19

874:2x 19x 23

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

2x 3x 17x 17x 19 = 32946

Therefore, the value for common factors is 32946.

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 = 403847126100/(1x32946)

LCM = 403847126100/32946

LCM = 12257850

Thus, we can understand that the LCM of 850,561,969,874 is 12257850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 850, 561, 969, 874

1. What is the LCM of 850, 561, 969, 874?

Answer: LCM of 850, 561, 969, 874 is 12257850.

2. How to calculate the LCM of 850, 561, 969, 874?

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 850, 561, 969, 874.

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}.