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 587, 656, 402, 786

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


Find the LCM of 587, 656, 402, 786 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 587, 656, 402, 786. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 587,656,402,786

Given numbers are 587,656,402,786

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

The LCM of 587,656,402,786 is 10139330832.

Find LCM of 587,656,402,786 with Prime Factorization


2 587, 656, 402, 786
3 587, 328, 201, 393
587, 328, 67, 131

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

2 x 3 x 587 x 328 x 67 x 131 = 10139330832

Therefore, the lowest common multiple of 587,656,402,786 is 10139330832.

LCM Formula to Find Lowest Common Multiple of 587,656,402,786

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.

587 x 656 x 402 x 786 = 121671969984

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.

587 : 1, 587

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

402 : 1, 2, 3, 6, 67, 134, 201, 402

786 : 1, 2, 3, 6, 131, 262, 393, 786

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,656,402,786, is 1.

Now, the common factors can be found like this.

587:587

656:2x 2x 2x 2x 41

402:2x 3x 67

786:2x 3x 131

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 3 = 12

Therefore, the value for common factors is 12.

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 = 121671969984/(1x12)

LCM = 121671969984/12

LCM = 10139330832

Thus, we can understand that the LCM of 587,656,402,786 is 10139330832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 587, 656, 402, 786

1. What is the LCM of 587, 656, 402, 786?

Answer: LCM of 587, 656, 402, 786 is 10139330832.

2. How to calculate the LCM of 587, 656, 402, 786?

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 587, 656, 402, 786.

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}.