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 821, 506, 120, 866, 362

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


Find the LCM of 821, 506, 120, 866, 362 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 821, 506, 120, 866, 362. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,506,120,866,362

Given numbers are 821,506,120,866,362

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

The LCM of 821,506,120,866,362 is 1953490913880.

Find LCM of 821,506,120,866,362 with Prime Factorization


2 821, 506, 120, 866, 362
821, 253, 60, 433, 181

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

2 x 821 x 253 x 60 x 433 x 181 = 1953490913880

Therefore, the lowest common multiple of 821,506,120,866,362 is 1953490913880.

LCM Formula to Find Lowest Common Multiple of 821,506,120,866,362

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.

821 x 506 x 120 x 866 x 362 = 15627927311040

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.

821 : 1, 821

506 : 1, 2, 11, 22, 23, 46, 253, 506

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

866 : 1, 2, 433, 866

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,506,120,866,362, is 1.

Now, the common factors can be found like this.

821:821

506:2x 11x 23

120:2x 2x 2x 3x 5

866:2x 433

362:2x 181

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 2 = 8

Therefore, the value for common factors is 8.

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 = 15627927311040/(1x8)

LCM = 15627927311040/8

LCM = 1953490913880

Thus, we can understand that the LCM of 821,506,120,866,362 is 1953490913880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 506, 120, 866, 362

1. What is the LCM of 821, 506, 120, 866, 362?

Answer: LCM of 821, 506, 120, 866, 362 is 1953490913880.

2. How to calculate the LCM of 821, 506, 120, 866, 362?

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 821, 506, 120, 866, 362.

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}.