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 921, 747, 735, 169, 524

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


Find the LCM of 921, 747, 735, 169, 524 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 921, 747, 735, 169, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 921,747,735,169,524

Given numbers are 921,747,735,169,524

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

The LCM of 921,747,735,169,524 is 4975572436380.

Find LCM of 921,747,735,169,524 with Prime Factorization


3 921, 747, 735, 169, 524
307, 249, 245, 169, 524

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

3 x 307 x 249 x 245 x 169 x 524 = 4975572436380

Therefore, the lowest common multiple of 921,747,735,169,524 is 4975572436380.

LCM Formula to Find Lowest Common Multiple of 921,747,735,169,524

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.

921 x 747 x 735 x 169 x 524 = 44780151927420

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.

921 : 1, 3, 307, 921

747 : 1, 3, 9, 83, 249, 747

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

169 : 1, 13, 169

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,747,735,169,524, is 1.

Now, the common factors can be found like this.

921:3x 307

747:3x 3x 83

735:3x 5x 7x 7

169:13x 13

524:2x 2x 131

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 = 44780151927420/(1x9)

LCM = 44780151927420/9

LCM = 4975572436380

Thus, we can understand that the LCM of 921,747,735,169,524 is 4975572436380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 921, 747, 735, 169, 524

1. What is the LCM of 921, 747, 735, 169, 524?

Answer: LCM of 921, 747, 735, 169, 524 is 4975572436380.

2. How to calculate the LCM of 921, 747, 735, 169, 524?

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 921, 747, 735, 169, 524.

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}.