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 770, 407, 962, 970, 354

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


Find the LCM of 770, 407, 962, 970, 354 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 770, 407, 962, 970, 354. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,407,962,970,354

Given numbers are 770,407,962,970,354

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

The LCM of 770,407,962,970,354 is 6358882530.

Find LCM of 770,407,962,970,354 with Prime Factorization


2 770, 407, 962, 970, 354
5 385, 407, 481, 485, 177
11 77, 407, 481, 97, 177
37 7, 37, 481, 97, 177
7, 1, 13, 97, 177

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

2 x 5 x 11 x 37 x 7 x 1 x 13 x 97 x 177 = 6358882530

Therefore, the lowest common multiple of 770,407,962,970,354 is 6358882530.

LCM Formula to Find Lowest Common Multiple of 770,407,962,970,354

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.

770 x 407 x 962 x 970 x 354 = 103522607588400

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

407 : 1, 11, 37, 407

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

970 : 1, 2, 5, 10, 97, 194, 485, 970

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,407,962,970,354, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

407:11x 37

962:2x 13x 37

970:2x 5x 97

354:2x 3x 59

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 2x 5x 11x 37 = 16280

Therefore, the value for common factors is 16280.

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 = 103522607588400/(1x16280)

LCM = 103522607588400/16280

LCM = 6358882530

Thus, we can understand that the LCM of 770,407,962,970,354 is 6358882530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 407, 962, 970, 354

1. What is the LCM of 770, 407, 962, 970, 354?

Answer: LCM of 770, 407, 962, 970, 354 is 6358882530.

2. How to calculate the LCM of 770, 407, 962, 970, 354?

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 770, 407, 962, 970, 354.

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}.