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 689, 931, 741, 653

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


Find the LCM of 689, 931, 741, 653 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 689, 931, 741, 653. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,931,741,653

Given numbers are 689,931,741,653

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

The LCM of 689,931,741,653 is 1256618181.

Find LCM of 689,931,741,653 with Prime Factorization


13 689, 931, 741, 653
19 53, 931, 57, 653
53, 49, 3, 653

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

13 x 19 x 53 x 49 x 3 x 653 = 1256618181

Therefore, the lowest common multiple of 689,931,741,653 is 1256618181.

LCM Formula to Find Lowest Common Multiple of 689,931,741,653

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.

689 x 931 x 741 x 653 = 310384690707

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.

689 : 1, 13, 53, 689

931 : 1, 7, 19, 49, 133, 931

741 : 1, 3, 13, 19, 39, 57, 247, 741

653 : 1, 653

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,931,741,653, is 1.

Now, the common factors can be found like this.

689:13x 53

931:7x 7x 19

741:3x 13x 19

653:653

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

13x 19 = 247

Therefore, the value for common factors is 247.

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 = 310384690707/(1x247)

LCM = 310384690707/247

LCM = 1256618181

Thus, we can understand that the LCM of 689,931,741,653 is 1256618181.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 931, 741, 653

1. What is the LCM of 689, 931, 741, 653?

Answer: LCM of 689, 931, 741, 653 is 1256618181.

2. How to calculate the LCM of 689, 931, 741, 653?

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 689, 931, 741, 653.

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}.