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 981, 498, 821, 750

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


Find the LCM of 981, 498, 821, 750 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 981, 498, 821, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 981,498,821,750

Given numbers are 981,498,821,750

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

The LCM of 981,498,821,750 is 16712070750.

Find LCM of 981,498,821,750 with Prime Factorization


2 981, 498, 821, 750
3 981, 249, 821, 375
327, 83, 821, 125

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

2 x 3 x 327 x 83 x 821 x 125 = 16712070750

Therefore, the lowest common multiple of 981,498,821,750 is 16712070750.

LCM Formula to Find Lowest Common Multiple of 981,498,821,750

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.

981 x 498 x 821 x 750 = 300817273500

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.

981 : 1, 3, 9, 109, 327, 981

498 : 1, 2, 3, 6, 83, 166, 249, 498

821 : 1, 821

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,498,821,750, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

498:2x 3x 83

821:821

750:2x 3x 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.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 300817273500/(1x18)

LCM = 300817273500/18

LCM = 16712070750

Thus, we can understand that the LCM of 981,498,821,750 is 16712070750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 981, 498, 821, 750

1. What is the LCM of 981, 498, 821, 750?

Answer: LCM of 981, 498, 821, 750 is 16712070750.

2. How to calculate the LCM of 981, 498, 821, 750?

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 981, 498, 821, 750.

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}.