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 121, 442, 974, 286, 507

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


Find the LCM of 121, 442, 974, 286, 507 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 121, 442, 974, 286, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,442,974,286,507

Given numbers are 121,442,974,286,507

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

The LCM of 121,442,974,286,507 is 1015783626.

Find LCM of 121,442,974,286,507 with Prime Factorization


2 121, 442, 974, 286, 507
11 121, 221, 487, 143, 507
13 11, 221, 487, 13, 507
11, 17, 487, 1, 39

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

2 x 11 x 13 x 11 x 17 x 487 x 1 x 39 = 1015783626

Therefore, the lowest common multiple of 121,442,974,286,507 is 1015783626.

LCM Formula to Find Lowest Common Multiple of 121,442,974,286,507

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.

121 x 442 x 974 x 286 x 507 = 7553367042936

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.

121 : 1, 11, 121

442 : 1, 2, 13, 17, 26, 34, 221, 442

974 : 1, 2, 487, 974

286 : 1, 2, 11, 13, 22, 26, 143, 286

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,442,974,286,507, is 1.

Now, the common factors can be found like this.

121:11x 11

442:2x 13x 17

974:2x 487

286:2x 11x 13

507:3x 13x 13

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 11x 13x 13 = 7436

Therefore, the value for common factors is 7436.

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 = 7553367042936/(1x7436)

LCM = 7553367042936/7436

LCM = 1015783626

Thus, we can understand that the LCM of 121,442,974,286,507 is 1015783626.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 442, 974, 286, 507

1. What is the LCM of 121, 442, 974, 286, 507?

Answer: LCM of 121, 442, 974, 286, 507 is 1015783626.

2. How to calculate the LCM of 121, 442, 974, 286, 507?

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 121, 442, 974, 286, 507.

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}.