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 555, 981, 735, 314, 224

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


Find the LCM of 555, 981, 735, 314, 224 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 555, 981, 735, 314, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 555,981,735,314,224

Given numbers are 555,981,735,314,224

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

The LCM of 555,981,735,314,224 is 44677251360.

Find LCM of 555,981,735,314,224 with Prime Factorization


2 555, 981, 735, 314, 224
3 555, 981, 735, 157, 112
5 185, 327, 245, 157, 112
7 37, 327, 49, 157, 112
37, 327, 7, 157, 16

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

2 x 3 x 5 x 7 x 37 x 327 x 7 x 157 x 16 = 44677251360

Therefore, the lowest common multiple of 555,981,735,314,224 is 44677251360.

LCM Formula to Find Lowest Common Multiple of 555,981,735,314,224

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.

555 x 981 x 735 x 314 x 224 = 28146668356800

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.

555 : 1, 3, 5, 15, 37, 111, 185, 555

981 : 1, 3, 9, 109, 327, 981

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

314 : 1, 2, 157, 314

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,981,735,314,224, is 1.

Now, the common factors can be found like this.

555:3x 5x 37

981:3x 3x 109

735:3x 5x 7x 7

314:2x 157

224:2x 2x 2x 2x 2x 7

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 5x 7 = 630

Therefore, the value for common factors is 630.

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 = 28146668356800/(1x630)

LCM = 28146668356800/630

LCM = 44677251360

Thus, we can understand that the LCM of 555,981,735,314,224 is 44677251360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 555, 981, 735, 314, 224

1. What is the LCM of 555, 981, 735, 314, 224?

Answer: LCM of 555, 981, 735, 314, 224 is 44677251360.

2. How to calculate the LCM of 555, 981, 735, 314, 224?

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 555, 981, 735, 314, 224.

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}.