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 653, 737, 924, 528, 770

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


Find the LCM of 653, 737, 924, 528, 770 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 653, 737, 924, 528, 770. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 653,737,924,528,770

Given numbers are 653,737,924,528,770

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

The LCM of 653,737,924,528,770 is 808518480.

Find LCM of 653,737,924,528,770 with Prime Factorization


2 653, 737, 924, 528, 770
2 653, 737, 462, 264, 385
3 653, 737, 231, 132, 385
7 653, 737, 77, 44, 385
11 653, 737, 11, 44, 55
653, 67, 1, 4, 5

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

2 x 2 x 3 x 7 x 11 x 653 x 67 x 1 x 4 x 5 = 808518480

Therefore, the lowest common multiple of 653,737,924,528,770 is 808518480.

LCM Formula to Find Lowest Common Multiple of 653,737,924,528,770

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.

653 x 737 x 924 x 528 x 770 = 180791200275840

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.

653 : 1, 653

737 : 1, 11, 67, 737

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,737,924,528,770, is 1.

Now, the common factors can be found like this.

653:653

737:11x 67

924:2x 2x 3x 7x 11

528:2x 2x 2x 2x 3x 11

770:2x 5x 7x 11

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 3x 7x 11x 11x 11 = 223608

Therefore, the value for common factors is 223608.

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 = 180791200275840/(1x223608)

LCM = 180791200275840/223608

LCM = 808518480

Thus, we can understand that the LCM of 653,737,924,528,770 is 808518480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 653, 737, 924, 528, 770

1. What is the LCM of 653, 737, 924, 528, 770?

Answer: LCM of 653, 737, 924, 528, 770 is 808518480.

2. How to calculate the LCM of 653, 737, 924, 528, 770?

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 653, 737, 924, 528, 770.

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}.