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LCM of 612, 611, 622, 578, 315

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


Find the LCM of 612, 611, 622, 578, 315 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 612, 611, 622, 578, 315. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 612,611,622,578,315

Given numbers are 612,611,622,578,315

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

The LCM of 612,611,622,578,315 is 69194246940.

Find LCM of 612,611,622,578,315 with Prime Factorization


2 612, 611, 622, 578, 315
3 306, 611, 311, 289, 315
3 102, 611, 311, 289, 105
17 34, 611, 311, 289, 35
2, 611, 311, 17, 35

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

2 x 3 x 3 x 17 x 2 x 611 x 311 x 17 x 35 = 69194246940

Therefore, the lowest common multiple of 612,611,622,578,315 is 69194246940.

LCM Formula to Find Lowest Common Multiple of 612,611,622,578,315

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.

612 x 611 x 622 x 578 x 315 = 42346879127280

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

611 : 1, 13, 47, 611

622 : 1, 2, 311, 622

578 : 1, 2, 17, 34, 289, 578

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,611,622,578,315, is 1.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

611:13x 47

622:2x 311

578:2x 17x 17

315:3x 3x 5x 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 2x 3x 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 42346879127280/(1x612)

LCM = 42346879127280/612

LCM = 69194246940

Thus, we can understand that the LCM of 612,611,622,578,315 is 69194246940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 612, 611, 622, 578, 315

1. What is the LCM of 612, 611, 622, 578, 315?

Answer: LCM of 612, 611, 622, 578, 315 is 69194246940.

2. How to calculate the LCM of 612, 611, 622, 578, 315?

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 612, 611, 622, 578, 315.

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}.