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 278, 303, 520, 317, 122

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


Find the LCM of 278, 303, 520, 317, 122 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 278, 303, 520, 317, 122. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,303,520,317,122

Given numbers are 278,303,520,317,122

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

The LCM of 278,303,520,317,122 is 423496543080.

Find LCM of 278,303,520,317,122 with Prime Factorization


2 278, 303, 520, 317, 122
139, 303, 260, 317, 61

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

2 x 139 x 303 x 260 x 317 x 61 = 423496543080

Therefore, the lowest common multiple of 278,303,520,317,122 is 423496543080.

LCM Formula to Find Lowest Common Multiple of 278,303,520,317,122

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.

278 x 303 x 520 x 317 x 122 = 1693986172320

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.

278 : 1, 2, 139, 278

303 : 1, 3, 101, 303

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

317 : 1, 317

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,303,520,317,122, is 1.

Now, the common factors can be found like this.

278:2x 139

303:3x 101

520:2x 2x 2x 5x 13

317:317

122:2x 61

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1693986172320/(1x4)

LCM = 1693986172320/4

LCM = 423496543080

Thus, we can understand that the LCM of 278,303,520,317,122 is 423496543080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 303, 520, 317, 122

1. What is the LCM of 278, 303, 520, 317, 122?

Answer: LCM of 278, 303, 520, 317, 122 is 423496543080.

2. How to calculate the LCM of 278, 303, 520, 317, 122?

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 278, 303, 520, 317, 122.

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}.