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LCM of 212, 673, 915, 919, 565

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


Find the LCM of 212, 673, 915, 919, 565 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 212, 673, 915, 919, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 212,673,915,919,565

Given numbers are 212,673,915,919,565

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

The LCM of 212,673,915,919,565 is 13557074233380.

Find LCM of 212,673,915,919,565 with Prime Factorization


5 212, 673, 915, 919, 565
212, 673, 183, 919, 113

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

5 x 212 x 673 x 183 x 919 x 113 = 13557074233380

Therefore, the lowest common multiple of 212,673,915,919,565 is 13557074233380.

LCM Formula to Find Lowest Common Multiple of 212,673,915,919,565

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.

212 x 673 x 915 x 919 x 565 = 67785371166900

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.

212 : 1, 2, 4, 53, 106, 212

673 : 1, 673

915 : 1, 3, 5, 15, 61, 183, 305, 915

919 : 1, 919

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,673,915,919,565, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

673:673

915:3x 5x 61

919:919

565:5x 113

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

5 = 5

Therefore, the value for common factors is 5.

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 = 67785371166900/(1x5)

LCM = 67785371166900/5

LCM = 13557074233380

Thus, we can understand that the LCM of 212,673,915,919,565 is 13557074233380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 212, 673, 915, 919, 565

1. What is the LCM of 212, 673, 915, 919, 565?

Answer: LCM of 212, 673, 915, 919, 565 is 13557074233380.

2. How to calculate the LCM of 212, 673, 915, 919, 565?

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 212, 673, 915, 919, 565.

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}.