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 245, 164, 778, 549, 272

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


Find the LCM of 245, 164, 778, 549, 272 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 245, 164, 778, 549, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 245,164,778,549,272

Given numbers are 245,164,778,549,272

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

The LCM of 245,164,778,549,272 is 583499906640.

Find LCM of 245,164,778,549,272 with Prime Factorization


2 245, 164, 778, 549, 272
2 245, 82, 389, 549, 136
245, 41, 389, 549, 68

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

2 x 2 x 245 x 41 x 389 x 549 x 68 = 583499906640

Therefore, the lowest common multiple of 245,164,778,549,272 is 583499906640.

LCM Formula to Find Lowest Common Multiple of 245,164,778,549,272

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.

245 x 164 x 778 x 549 x 272 = 4667999253120

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.

245 : 1, 5, 7, 35, 49, 245

164 : 1, 2, 4, 41, 82, 164

778 : 1, 2, 389, 778

549 : 1, 3, 9, 61, 183, 549

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,164,778,549,272, is 1.

Now, the common factors can be found like this.

245:5x 7x 7

164:2x 2x 41

778:2x 389

549:3x 3x 61

272:2x 2x 2x 2x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 4667999253120/(1x8)

LCM = 4667999253120/8

LCM = 583499906640

Thus, we can understand that the LCM of 245,164,778,549,272 is 583499906640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 245, 164, 778, 549, 272

1. What is the LCM of 245, 164, 778, 549, 272?

Answer: LCM of 245, 164, 778, 549, 272 is 583499906640.

2. How to calculate the LCM of 245, 164, 778, 549, 272?

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 245, 164, 778, 549, 272.

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}.