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 735, 495, 228, 870, 355

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


Find the LCM of 735, 495, 228, 870, 355 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 735, 495, 228, 870, 355. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,495,228,870,355

Given numbers are 735,495,228,870,355

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

The LCM of 735,495,228,870,355 is 3795519420.

Find LCM of 735,495,228,870,355 with Prime Factorization


2 735, 495, 228, 870, 355
3 735, 495, 114, 435, 355
5 245, 165, 38, 145, 355
49, 33, 38, 29, 71

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

2 x 3 x 5 x 49 x 33 x 38 x 29 x 71 = 3795519420

Therefore, the lowest common multiple of 735,495,228,870,355 is 3795519420.

LCM Formula to Find Lowest Common Multiple of 735,495,228,870,355

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.

735 x 495 x 228 x 870 x 355 = 25619756085000

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.

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

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,495,228,870,355, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

495:3x 3x 5x 11

228:2x 2x 3x 19

870:2x 3x 5x 29

355:5x 71

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

2x 3x 3x 3x 5x 5x 5 = 6750

Therefore, the value for common factors is 6750.

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 = 25619756085000/(1x6750)

LCM = 25619756085000/6750

LCM = 3795519420

Thus, we can understand that the LCM of 735,495,228,870,355 is 3795519420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 495, 228, 870, 355

1. What is the LCM of 735, 495, 228, 870, 355?

Answer: LCM of 735, 495, 228, 870, 355 is 3795519420.

2. How to calculate the LCM of 735, 495, 228, 870, 355?

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 735, 495, 228, 870, 355.

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}.