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 420, 567, 661, 457

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


Find the LCM of 420, 567, 661, 457 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 420, 567, 661, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 420,567,661,457

Given numbers are 420,567,661,457

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

The LCM of 420,567,661,457 is 3425553180.

Find LCM of 420,567,661,457 with Prime Factorization


3 420, 567, 661, 457
7 140, 189, 661, 457
20, 27, 661, 457

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

3 x 7 x 20 x 27 x 661 x 457 = 3425553180

Therefore, the lowest common multiple of 420,567,661,457 is 3425553180.

LCM Formula to Find Lowest Common Multiple of 420,567,661,457

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.

420 x 567 x 661 x 457 = 71936616780

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

661 : 1, 661

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,567,661,457, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

567:3x 3x 3x 3x 7

661:661

457:457

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 71936616780/(1x21)

LCM = 71936616780/21

LCM = 3425553180

Thus, we can understand that the LCM of 420,567,661,457 is 3425553180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 420, 567, 661, 457

1. What is the LCM of 420, 567, 661, 457?

Answer: LCM of 420, 567, 661, 457 is 3425553180.

2. How to calculate the LCM of 420, 567, 661, 457?

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 420, 567, 661, 457.

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}.