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 962, 219, 780, 662, 523

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


Find the LCM of 962, 219, 780, 662, 523 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 962, 219, 780, 662, 523. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 962,219,780,662,523

Given numbers are 962,219,780,662,523

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

The LCM of 962,219,780,662,523 is 364711006140.

Find LCM of 962,219,780,662,523 with Prime Factorization


2 962, 219, 780, 662, 523
3 481, 219, 390, 331, 523
13 481, 73, 130, 331, 523
37, 73, 10, 331, 523

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

2 x 3 x 13 x 37 x 73 x 10 x 331 x 523 = 364711006140

Therefore, the lowest common multiple of 962,219,780,662,523 is 364711006140.

LCM Formula to Find Lowest Common Multiple of 962,219,780,662,523

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.

962 x 219 x 780 x 662 x 523 = 56894916957840

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.

962 : 1, 2, 13, 26, 37, 74, 481, 962

219 : 1, 3, 73, 219

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

662 : 1, 2, 331, 662

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,219,780,662,523, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

219:3x 73

780:2x 2x 3x 5x 13

662:2x 331

523:523

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 56894916957840/(1x156)

LCM = 56894916957840/156

LCM = 364711006140

Thus, we can understand that the LCM of 962,219,780,662,523 is 364711006140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 962, 219, 780, 662, 523

1. What is the LCM of 962, 219, 780, 662, 523?

Answer: LCM of 962, 219, 780, 662, 523 is 364711006140.

2. How to calculate the LCM of 962, 219, 780, 662, 523?

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 962, 219, 780, 662, 523.

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}.