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 771, 651, 697, 345

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


Find the LCM of 771, 651, 697, 345 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 771, 651, 697, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 771,651,697,345

Given numbers are 771,651,697,345

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

The LCM of 771,651,697,345 is 13410492585.

Find LCM of 771,651,697,345 with Prime Factorization


3 771, 651, 697, 345
257, 217, 697, 115

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

3 x 257 x 217 x 697 x 115 = 13410492585

Therefore, the lowest common multiple of 771,651,697,345 is 13410492585.

LCM Formula to Find Lowest Common Multiple of 771,651,697,345

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.

771 x 651 x 697 x 345 = 120694433265

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.

771 : 1, 3, 257, 771

651 : 1, 3, 7, 21, 31, 93, 217, 651

697 : 1, 17, 41, 697

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,651,697,345, is 1.

Now, the common factors can be found like this.

771:3x 257

651:3x 7x 31

697:17x 41

345:3x 5x 23

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 120694433265/(1x9)

LCM = 120694433265/9

LCM = 13410492585

Thus, we can understand that the LCM of 771,651,697,345 is 13410492585.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 771, 651, 697, 345

1. What is the LCM of 771, 651, 697, 345?

Answer: LCM of 771, 651, 697, 345 is 13410492585.

2. How to calculate the LCM of 771, 651, 697, 345?

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 771, 651, 697, 345.

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}.