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LCM of 676, 838, 365, 650

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


Find the LCM of 676, 838, 365, 650 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 676, 838, 365, 650. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,838,365,650

Given numbers are 676,838,365,650

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

The LCM of 676,838,365,650 is 516920300.

Find LCM of 676,838,365,650 with Prime Factorization


2 676, 838, 365, 650
5 338, 419, 365, 325
13 338, 419, 73, 65
26, 419, 73, 5

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

2 x 5 x 13 x 26 x 419 x 73 x 5 = 516920300

Therefore, the lowest common multiple of 676,838,365,650 is 516920300.

LCM Formula to Find Lowest Common Multiple of 676,838,365,650

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.

676 x 838 x 365 x 650 = 134399278000

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

838 : 1, 2, 419, 838

365 : 1, 5, 73, 365

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,838,365,650, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

838:2x 419

365:5x 73

650:2x 5x 5x 13

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 5x 13 = 260

Therefore, the value for common factors is 260.

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 = 134399278000/(1x260)

LCM = 134399278000/260

LCM = 516920300

Thus, we can understand that the LCM of 676,838,365,650 is 516920300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 838, 365, 650

1. What is the LCM of 676, 838, 365, 650?

Answer: LCM of 676, 838, 365, 650 is 516920300.

2. How to calculate the LCM of 676, 838, 365, 650?

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 676, 838, 365, 650.

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}.