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LCM of 487, 335, 502, 831, 946

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


Find the LCM of 487, 335, 502, 831, 946 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 487, 335, 502, 831, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,335,502,831,946

Given numbers are 487,335,502,831,946

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

The LCM of 487,335,502,831,946 is 32191384093770.

Find LCM of 487,335,502,831,946 with Prime Factorization


2 487, 335, 502, 831, 946
487, 335, 251, 831, 473

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

2 x 487 x 335 x 251 x 831 x 473 = 32191384093770

Therefore, the lowest common multiple of 487,335,502,831,946 is 32191384093770.

LCM Formula to Find Lowest Common Multiple of 487,335,502,831,946

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.

487 x 335 x 502 x 831 x 946 = 64382768187540

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.

487 : 1, 487

335 : 1, 5, 67, 335

502 : 1, 2, 251, 502

831 : 1, 3, 277, 831

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,335,502,831,946, is 1.

Now, the common factors can be found like this.

487:487

335:5x 67

502:2x 251

831:3x 277

946:2x 11x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 64382768187540/(1x2)

LCM = 64382768187540/2

LCM = 32191384093770

Thus, we can understand that the LCM of 487,335,502,831,946 is 32191384093770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 335, 502, 831, 946

1. What is the LCM of 487, 335, 502, 831, 946?

Answer: LCM of 487, 335, 502, 831, 946 is 32191384093770.

2. How to calculate the LCM of 487, 335, 502, 831, 946?

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 487, 335, 502, 831, 946.

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}.