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 891, 865, 510, 952

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


Find the LCM of 891, 865, 510, 952 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 891, 865, 510, 952. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 891,865,510,952

Given numbers are 891,865,510,952

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

The LCM of 891,865,510,952 is 733720680.

Find LCM of 891,865,510,952 with Prime Factorization


2 891, 865, 510, 952
3 891, 865, 255, 476
5 297, 865, 85, 476
17 297, 173, 17, 476
297, 173, 1, 28

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

2 x 3 x 5 x 17 x 297 x 173 x 1 x 28 = 733720680

Therefore, the lowest common multiple of 891,865,510,952 is 733720680.

LCM Formula to Find Lowest Common Multiple of 891,865,510,952

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.

891 x 865 x 510 x 952 = 374197546800

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.

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

865 : 1, 5, 173, 865

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,865,510,952, is 1.

Now, the common factors can be found like this.

891:3x 3x 3x 3x 11

865:5x 173

510:2x 3x 5x 17

952:2x 2x 2x 7x 17

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 5x 17 = 510

Therefore, the value for common factors is 510.

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 = 374197546800/(1x510)

LCM = 374197546800/510

LCM = 733720680

Thus, we can understand that the LCM of 891,865,510,952 is 733720680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 891, 865, 510, 952

1. What is the LCM of 891, 865, 510, 952?

Answer: LCM of 891, 865, 510, 952 is 733720680.

2. How to calculate the LCM of 891, 865, 510, 952?

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 891, 865, 510, 952.

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}.