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 952, 213, 680, 831

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


Find the LCM of 952, 213, 680, 831 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 952, 213, 680, 831. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 952,213,680,831

Given numbers are 952,213,680,831

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

The LCM of 952,213,680,831 is 280844760.

Find LCM of 952,213,680,831 with Prime Factorization


2 952, 213, 680, 831
2 476, 213, 340, 831
2 238, 213, 170, 831
3 119, 213, 85, 831
17 119, 71, 85, 277
7, 71, 5, 277

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

2 x 2 x 2 x 3 x 17 x 7 x 71 x 5 x 277 = 280844760

Therefore, the lowest common multiple of 952,213,680,831 is 280844760.

LCM Formula to Find Lowest Common Multiple of 952,213,680,831

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.

952 x 213 x 680 x 831 = 114584662080

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.

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

213 : 1, 3, 71, 213

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,213,680,831, is 1.

Now, the common factors can be found like this.

952:2x 2x 2x 7x 17

213:3x 71

680:2x 2x 2x 5x 17

831:3x 277

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 2x 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 114584662080/(1x408)

LCM = 114584662080/408

LCM = 280844760

Thus, we can understand that the LCM of 952,213,680,831 is 280844760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 952, 213, 680, 831

1. What is the LCM of 952, 213, 680, 831?

Answer: LCM of 952, 213, 680, 831 is 280844760.

2. How to calculate the LCM of 952, 213, 680, 831?

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 952, 213, 680, 831.

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}.